Question

What are two different ways of factoring –3x – 9? Select all that apply.

Answer 1

Question:

What are two different ways of factoring –3x – 9? Select all that apply.

A. –3(x + 3) B. 3(x + 3) C. 3(–x – 3) D. –3(x – 3)

Answer:

Option A and option C

Two different ways of factoring -3x - 9 is 3(-x - 3) and -3(x + 3)

Solution:

Given expression is -3x - 9

We have to find two different ways of factoring this expression

Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

Factoring a polynomial involves writing it as a product of two or more polynomials

⇒ -3x - 9

Taking 3 as common term ,

⇒ -3x - 9 = 3(-x - 3)

So Option C is correct

Also we can take -3 as common term,

⇒ -3x - 9 = -3(x + 3)

Thus Option A is also correct