How do you write 5x²-2x-7 in factored form?

Sep 18, 2015

The fully factored form is: $\left(x + 1\right) \left(5 x - 7\right)$

Explanation:

$5 {x}^{2} - 2 x - 7 = 5 {x}^{2} + 5 x - 7 x - 7$

$5 {x}^{2} + 5 x - 7 x - 7 = 5 x \left(x + 1\right) - 7 \left(x + 1\right)$

Factorising by a common factor of (x+1) yields;

$\left(x + 1\right) \left(5 x - 7\right)$

Hope that helps :)
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