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liubo4ka [24]
3 years ago
12

Factor the trinomial 5x^2-x-4

Mathematics
2 answers:
LenaWriter [7]3 years ago
6 0

Answer:

<h2>(5x+4)(x-1)</h2>

Step-by-step explanation:

5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)

BartSMP [9]3 years ago
4 0
I think it’s (5x+4)(x-1)
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