Assertion: The degree of polynomial is (x-2)(x-3 )(x+4) is 4. Reason:The number of zeros of polynomial is the degree of that polynomial . i) Assertion is true but reason is is false ii)Assertion is false but reason is true iii)Assertion is true ,reason is also true iv) Assertion is false, reason is also false
Answers
Given :
Assertion: The degree of polynomial is (x-2)(x-3 )(x+4) is 4.
Reason:The number of zeros of polynomial is the degree of that polynomial
To Find : Choose correct option
Solution:
Assertion: The degree of polynomial is (x-2)(x-3 )(x+4) is 4. FALSE
(x-2)(x-3 )(x+4)
= (x - 2)(x² + x - 12)
= x³ - x² -14x + 24
Degree of a polynomial is the highest power of variable in the polynomial.
Here highest power is 3
Hence its degree is 3 not 4
Hence Assertion is FALSE
Reason: The number of zeros of polynomial is the degree of that polynomial
FALSE
as x² + 4 does not have any real zero but degree is 2.
Hence
Assertion is false, reason is also false
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Answer:
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