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Factorisation of Quadratic Polynomials - Factor Theorem

Factors of ...

Question

Factors of $x^{2} - x - 12$ are:

(x - l) (x - 2)

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(x - 2) (x - 3)

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(x - 3) (x + 4)

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(x - 4) (x + 3)

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Solution

The correct option is D $(x - 4) (x + 3)$
$x^{2} - x - 12 = x^{2} - 4 x + 3 x - 12$
$= x (x - 4) + 3 (x - 4)$
$= (x - 4) (x + 3)$

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