Factor completely 2x2 + 9x + 4.

a. (2x + 2)(x + 2)
b.(2x + 1)(x + 4)
c. (2x + 4)(x + 1)
d. (2x + 2)(x + 4)

need fast and correct!

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

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point