A quadratic polynomial, the sum of whose zeroes is zero and one zero is 4, is ……………… A) x^2 – 16
A quadratic polynomial, the sum of whose zeroes is zero and one zero is 4, is ………………
A) x2 – 16
B) x2 + 16
C) x2 – 4
D) x2 + 4
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Correct option is (A) x2 – 16
Let the other zero be \(\alpha.\)
\(\therefore\) \(\alpha+4=0\)
\(\Rightarrow\) \(\alpha=-4\)
\(\therefore\) Product of zeros \(=4\alpha=4\times-4=-16\)
Required quadratic polynomial \(=x^2\) - (sum of zeros) x + product of zeros
\(=x^2-0.x+(-16)\)
\(=x^2 -16\)
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