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

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.