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Question

A quadratic polynomial, whose zeroes are -3 and 4 is


A

x2-x+12

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B

x2+x+12

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C

x22-x2-6

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D

2x2+2x-24

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Solution

The correct option is C

x22-x2-6


Explanation for Correct option:

Let α,β be the zeroes of quadratic polynomial such that α=-3,β=4

Sum of zeroes,

α+β=-3+4=1

Product of Zeroes,

αβ=-3×4=-12

Therefore, the quadratic polynomial can be expressed as,

x²-(sumofzeroes)x+(productofzeroes)

=x²-(α+β)x+(αβ)=x²(1)x+(-12)=x²x-12

On dividing by 2 we get,

=x²2x2-122=x22-x2-6

Thus, the required polynomial isx22-x2-6

Hence the correct option is (C)


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