Question 1

How do you show two ways to factor -4x - 28

Question 2

Answer:

-2 (2x +14)

-4 (x + 7)

Step-by-step explanation:

We are given the expression:

We will factor it as shown below:

I.

$\begin{gathered} -4x-28 \\ \text{Both terms have a common factor of ''2''. Hence, we can divide and factor by 2. We have:} \\ 2(-2x-14) \\ \text{Re-writing the expression, we have:} \\ -2(2x+14) \\ \\ \therefore-2(2x+14) \end{gathered}$

II.

$\begin{gathered} -4x-28 \\ \text{Both terms have a greatest common factor of ''-4''. Hence, we can divide and factor by ''-4''. We have:} \\ 4(-x-7) \\ \text{Re-writing the expression, we have:} \\ -4(x+7) \\ \\ \therefore-4(x+7) \end{gathered}$

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