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Question

Find a quadratic polynomial having zeroes equal to 7 and -3 ?

A

k(x24x21)
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B

k(x24x+21)
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C

k(x23x21)
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D

k(x23x+21)
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Solution

The correct option is A
k(x24x21)
Let α and β be zeroes
α=7 and β=3S=α+β=7+(3)=4P=αβ=7(3)=21where S is sum of the roots and P is the product of the rootsHence, Required quadratic polynomial is =k[x2Sx+P]=k[x24x21]
So, option a is correct.

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