Question

Factor completely 2x^2 + 9x + 4.

A. (2x + 2)(x + 2)
B. (2x + 1)(x + 4)
C. (2x + 4)(x + 1)
D. (2x + 2)(x + 4)

Answer 1

2x^2 + 9x + 4 = (2x + 1)(x + 4)

because

(2x + 1)(x + 4)

= 2x^2 + x + 8x + 4

= 2x^2 + 9x + 4

Answer is B. (2x + 1)(x + 4)

Hope it helps