Question

Factorisation Q. 4x2 - 5x - 21

Answer 1

$\huge\underline\mathrm{AnSwEr}$

${4x}^{2} - 5x - 21$

Write -5x as a difference

${4x}^{2} + 7x - 12x - 21$

Factor out -3 from the expression

$x(4x + 7) - 3(4x + 7)$

Factor out 4x + 7 from the expression

$(4x + 7)(x - 3)$

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Answer 2

{4x}^{2} - 5x - 214x

2

−5x−21

Write -5x as a difference

{4x}^{2} + 7x - 12x - 214x

2

+7x−12x−21

Factor out -3 from the expression

x(4x + 7) - 3(4x + 7)x(4x+7)−3(4x+7)

Factor out 4x + 7 from the expression

(4x + 7)(x - 3)(4x+7)(x−3)

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