Expand your horizons with the diverse and informative answers found on IDNLearn.com. Our community provides timely and precise responses to help you understand and solve any issue you face.

Select the correct answer.
Sharl started to use the grouping method to factor the expression x2 + 5x - 84 as shown.
x2 + 5x - 84
x2 + 12x - 7x - 84
Which expression could be the next step in completely factoring the expression?
OA. x(x+12) - 7(x+12)
B. (x-12)+7(x - 12)
OC. (x + 12 - 7) - 84
OD. x + 12x + 7(x - 12)


Sagot :

Answer:

A.[tex]x(x+12) -7(x+12)[/tex]

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

[tex]x^2 +5x - 84[/tex]

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

[tex]x^2 +12x - 7x - 84[/tex]

Now take out the common factors,

[tex]x(x+12) -7(x+12)[/tex]

Thus, the correct option is choice (A).