What are the factors of 2x^2+11x+15

(x + 3) (2x + 5)

Step-by-step explanation:

Given

2x² + 11x + 15

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term

product = 2 * 15 = 30 and sum = + 11

The factors are + 6 and + 5

Use these factors to split the x - term

2x² + 6x + 5x + 15 (factor the first/second and third/fourth terms)

= 2x (x + 3) + 5 (x + 3) ← factor out (x + 3) from each term

= (x + 3) (2x + 5)