Answer:
(2x + 5(x + 1).
Explanation:
2x^2+7x+5
Using the 'ac' which starts with multiplying the first and last coefficients:
2 * +5 = +10
Now, we need 2 numbers whose product = + 10 and whose sum = the coefficient of x, that is +7.
These are + 5 and + 2 , so we write
2x^2 + 2x + 5x + 5
Now we factor by grouping:
= 2x(x + 1) + 5(x + 1)
= (2x + 5(x + 1)