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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.
Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- c)Assertion (A) is true but reason (R) is false.
- d)Assertion (A) is false but reason (R) is true.
Correct answer is option 'B'. Can you explain this answer?
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Direction: In the following questions, a statement of assertion (A) i...
A rational function is defined as the ratio of two real polynomials with the condition that the polynomial in the denominator is not a zero polynomial. For any function, the x -intercepts are x -values for which the function has a value of zero: f(x) = 0, f (x) = 0.
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Direction: In the following questions, a statement of assertion (A) i...
Assertion (A): The expression 3x4 - 4x3/2 x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.
Reason (R): The highest exponent in various terms of an algebraic expression in one variable is called its degree.
The correct answer is option 'B' - Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
Explanation:
Polynomials are algebraic expressions that consist of variables, coefficients, and exponents and only involve addition, subtraction, and multiplication operations. A polynomial expression can have terms with integer, fractional, or decimal exponents, but it cannot have irrational or rational exponents.
In the given expression 3x4 - 4x3/2 x2 = 2, we have the term -4x3/2. This term contains a rational power of x (3/2), which means it is not a polynomial because polynomials cannot have rational exponents.
Now, let's analyze the reason provided:
The degree of a polynomial is the highest exponent of the variable in the polynomial expression. It represents the highest power to which the variable is raised.
In the given expression, the highest exponent of x is 4 (in the term 3x4). So, according to the reason provided, the degree of the expression would be 4.
However, the reason does not explain why the expression is not a polynomial because of the term -4x3/2. The reason only defines the concept of degree in a polynomial but does not establish a connection with the assertion.
Hence, both the assertion and reason are true, but reason (R) is not the correct explanation of assertion (A).
Reason (R): The highest exponent in various terms of an algebraic expression in one variable is called its degree.
The correct answer is option 'B' - Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
Explanation:
Polynomials are algebraic expressions that consist of variables, coefficients, and exponents and only involve addition, subtraction, and multiplication operations. A polynomial expression can have terms with integer, fractional, or decimal exponents, but it cannot have irrational or rational exponents.
In the given expression 3x4 - 4x3/2 x2 = 2, we have the term -4x3/2. This term contains a rational power of x (3/2), which means it is not a polynomial because polynomials cannot have rational exponents.
Now, let's analyze the reason provided:
The degree of a polynomial is the highest exponent of the variable in the polynomial expression. It represents the highest power to which the variable is raised.
In the given expression, the highest exponent of x is 4 (in the term 3x4). So, according to the reason provided, the degree of the expression would be 4.
However, the reason does not explain why the expression is not a polynomial because of the term -4x3/2. The reason only defines the concept of degree in a polynomial but does not establish a connection with the assertion.
Hence, both the assertion and reason are true, but reason (R) is not the correct explanation of assertion (A).
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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer?
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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer?.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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Here you can find the meaning of Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : The expression 3x4 - 4x3/2 + x2 = 2 is not a polynomial because the term -4x3/2 contains a rational power of x.Reason : The highest exponent in various terms of an algebraic expression in one variable is called its degree.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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