Question

question factor completely. 5x^{2}-3x - 2

Explanation:

Step1: Multiply leading - coefficient and constant

$5\times(-2)=-10$

Step2: Find two numbers for $-10$ that sum to $-3$

The numbers are $-5$ and $2$ since $-5\times2=-10$ and $-5 + 2=-3$

Step3: Rewrite middle term

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

Step4: Group terms

$(5x^{2}-5x)+(2x - 2)$

Step5: Factor out GCF from each group

$5x(x - 1)+2(x - 1)$

Step6: Factor out common binomial factor

$(5x + 2)(x - 1)$

Answer:

$(5x + 2)(x - 1)$