Using algebraic identities find the coefficients of $x^{2}$ term, $x$ term and constant term.
$(x - 5) (x - 4) (x + 2)$

- 7, 2, 40

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- 7, - 2, 40

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7, 2, 40

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None of these

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Solution

The correct option is A $- 7, 2, 40$
$(x - 5) (x - 4) (x + 2)$

$= (x^{2} - 9 x + 20) (x + 2)$

$= x^{3} + 2 x^{2} - 9 x^{2} - 13 x + 20 x + 40$

$= x^{3} - 7 x^{2} + 2 x + 40$

Comparing, we get

Coefficient of $x^{2} = - 7$

Coefficient of $x = 2$

Constant term $= 40$

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