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)
