Factor this expression completely. 2x^2 + 11x + 15

(2x + 5) (x + 3)

Step-by-step explanation:

Use the AC method. To factor ax² + bx + c:

Multiply a and c Find factors of ac that add up to b Divide each factor by a and reduce the fractions The numerators are the constants, the denominators are the coefficients

In this case, a = 2, b = 11, and c = 15.

ac = 2 * 15 = 30 Factors of 30 that add up to 11 are 5 and 6 Divide by a and reduce: 5/2 and 6/2 = 3/1 Factors are 2x + 5 and x + 3

Therefore:

2x² + 11x + 15 = (2x + 5) (x + 3)