Question

Factor: 5x2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).
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Answer 1

Answer:

(a) 5(x-4)(x+1)

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Answer 2

${5x}^{2} - 15x - 20 \\ = 5( {x}^{2} - 3x - 4) \\ = 5( {x}^{2} + x - 4x - 4) \\ = 5(x(x + 1) - 4(x + 1)) \\ = 5(x + 1)(x - 4)$

The answer is (a) 5(x-4)(x+1)