Question

Factor completely 2x2 + 9x + 4.

Answer 1

Answer:

B

Step-by-step explanation:

To factor the quadratic

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 × 4 = 8 and sum = 9

The factors are + 8 and + 1

Use these factors to split the x- term

2x² + 8x + x + 4 (factor the first/second and third/fourth terms )

2x(x + 4) + 1(x + 4) ← factor out (x + 4)

= (x + 4)(2x + 1) = (2x + 1)(x + 4) → B

Answer 2

B. (2x+1)(x+4) hope this helps