Question

Jorge is factoring a quadratic expression. First he factors out the greatest common factor & then uses grouping.

Answer 1

Answer:

B. 6x^2 − 9x − 27

Explanation:

Here is the complete question :

Jorge is factoring a quadratic expression. First, he factors out the greatest common factor, and then he uses grouping. Which expression could be jorges expression?

A. 7x2 − 28

B. 6x2 − 9x − 27

C. 4x2 + 18x + 8

D. 24x2 + 2x

A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.

it is usually in the form : ax² + bx + c = 0

a, b,c are known numbers

x is unknown

looking through the options, it is only option b that satisfies the two steps Jorge carries out

1. he factors out the greatest common factor

6x2 − 9x − 27

this factor is 3. the equation then becomes 2x2 - 3x - 9

2, he uses grouping.

to group, determine the factors of 2x^2 x -9  = -18x^2 that adds up to -3x : they are -6x and +3x

grouping them now becomes : (6x^2 + 3x) (-6x -27)