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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 : If f(x) = 3x7 - 4x6 + x + 9 is a polynomial, then its degree is 7.
Reason : Degree of a polynomial is the highest power of the variable in it.
  • 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 'A'. Can you explain this answer?
Verified Answer
Direction: In the following questions, a statement of assertion (A) i...
The degree of a polynomial function is the highest power of the variable that occurs in a polynomial. The term containing the highest power of the variable is called the leading term. The coefficient of the leading term is called the leading coefficient.
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Most Upvoted Answer
Direction: In the following questions, a statement of assertion (A) i...
Assertion: If f(x) = 3x^7 - 4x^6 + 9 is a polynomial, then its degree is 7.
Reason: The degree of a polynomial is the highest power of the variable in it.

Explanation:
- A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication operations.
- The degree of a polynomial is determined by the highest power of the variable in the polynomial.
- In the given polynomial, f(x) = 3x^7 - 4x^6 + 9, the highest power of x is 7.
- Therefore, the degree of the polynomial is 7.

Reasoning for the correct answer:
- Both the assertion and the reason are true.
- The assertion states that if f(x) is a polynomial, then its degree is 7.
- The reason provides the definition of the degree of a polynomial as the highest power of the variable in it.
- In this case, f(x) is a polynomial with a highest power of x as 7, which aligns with the definition of the degree.
- Therefore, the reason is the correct explanation of the assertion.

Conclusion:
- Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
- Hence, option 'A' is the correct 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 : If f(x) = 3x7 - 4x6 + x + 9 is a polynomial, then its degree is 7.Reason : Degree of a polynomial is the highest power of the variable in it.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 'A'. 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 : If f(x) = 3x7 - 4x6 + x + 9 is a polynomial, then its degree is 7.Reason : Degree of a polynomial is the highest power of the variable in it.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 'A'. 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 : If f(x) = 3x7 - 4x6 + x + 9 is a polynomial, then its degree is 7.Reason : Degree of a polynomial is the highest power of the variable in it.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 'A'. 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 : If f(x) = 3x7 - 4x6 + x + 9 is a polynomial, then its degree is 7.Reason : Degree of a polynomial is the highest power of the variable in it.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 'A'. 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 : If f(x) = 3x7 - 4x6 + x + 9 is a polynomial, then its degree is 7.Reason : Degree of a polynomial is the highest power of the variable in it.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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
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