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Multiplication of Any Polynomial

The coefficie...

Question

The coefficient of $x^{2}$ in $(x^{2} - 1) (x^{2} + x - 6)$ is

5

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- 5

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7

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- 7

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Solution

The correct option is D $- 7$
We have,
$(x^{2} - 1) (x^{2} + x - 6)$
$= (x^{4} + x^{3} - 6 x^{2}) - (x^{2} + x - 6)$
$= x^{4} + x^{3} - 7 x^{2} - x + 6$
$∴$ the coefficient of $x^{2}$ in $(x^{2} - 1) (x^{2} + x - 6)$ is $- 7$

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