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Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.
Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.?
Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.?
Most Upvoted Answer
Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is...
Explanation:
Understanding Degree of a Polynomial:
Understanding the Polynomial:
How to determine the degree:
Relevance of Reason:
Conclusion:
Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x 4) is 4.
Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.
Understanding Degree of a Polynomial:
The degree of a polynomial is the highest power of the variable in the polynomial. For example, the degree of the polynomial x^2 + 3x – 4 is 2 because the highest power of the variable x is 2. The degree of a polynomial can be determined by looking at the term with the highest power of the variable.
Understanding the Polynomial:
The given polynomial is (x – 2 )(x – 3 )(x 4). We can expand the polynomial to get:
x^3 – 5x^2 + 2x + 24
How to determine the degree:
The degree of the polynomial is the highest power of the variable. In this case, the highest power of x is 3. Therefore, the degree of the polynomial is 3.
Relevance of Reason:
The reason given in the assertion is not correct. The number of zeroes of a polynomial is not always equal to the degree of the polynomial. For example, the polynomial (x – 1)(x – 2) has degree 2 but has two zeroes, x = 1 and x = 2. The correct statement is that the degree of a polynomial is equal to the highest power of the variable in the polynomial.
Conclusion:
The assertion is true, but the reason is not correct. The degree of the polynomial (x – 2 )(x – 3 )(x 4) is 3, not 4.
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Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is...
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Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.?
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Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.? 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 Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.?.
Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.? 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 Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): The degree of the polynomial (x – 2 )(x – 3 )(x + 4) is 4.Reason(R): The number of zeroes of a polynomial is the degree of that polynomial.?.
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