Factor – 1/2 out of -1/2x+6

What is the factored expression of this

Answer:

-1/2(x-12)

Step-by-step explanation:

Since you need to factor -1/2 out of the given expression, you can say that

-1/2x+6 is equal to

-1/2(x-12)

Answer:  [tex]-\frac{1}{2}(x-12)[/tex]

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Explanation:

The terms of [tex]-\frac{1}{2}x+6[/tex] are [tex]-\frac{1}{2}x[/tex] and [tex]6[/tex]

Divide each term by -1/2 to factor out the -1/2

If we divide [tex]-\frac{1}{2}x[/tex] over -1/2, then we'll get x. Basically the -1/2 terms cancel.

If we divide 6 over -1/2, we get -12. It might help to think of it as 6/(-0.5) = -12.

So overall we have [tex]-\frac{1}{2}x+6 = -\frac{1}{2}(x-12)[/tex]

You can use the distribution property to check the answer.

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