Question

Factor completely

2x^2+7x+5

Answer 1

(2x+5)(x+1)

Explanation:

We look for two numbers which multiply to 10(that is 2×5) and add to 7. Our numbers are 2and 5

2×5=10 and 2+5=7

Therefore we have

(2x²+2x)+(5x+5)

2x(x+1)+5(x+1)

(2x+5)(x+1)