Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.

a. 6x2 + 9x + 8x + 5

b. (3x + 1) (2x + 5)

c. x (6x + 17) + 5

d. 3x (2x + 5) + 1 (2x + 5)

b

Step-by-step explanation:

given

6x² + 17x + 5

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

product = 6 * 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x - term

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

= 2x (3x + 1) + 5 (3x + 1) ← factor out (3x + 1) from each term

= (3x + 1) (2x + 5) → b