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Factor 16a + 72 to identify the equivalent expression

Sagot :

Hey there, thanks for posting your first question!

If you're asked to factor a polynomial, you need to look for the

greatest common factor between the terms that are involved.

The greatest common factor of 16a and 72 is 8 because 8

is the largest number that can divide into both 16 and 72.

The "a" doesn't qualify because it doesn't appear in every term.

So the 8 factors out.

When that happens, we are left with each term divided by that 8

inside a set of parenthses, I'll show you what I mean.

So we have 8(2a + 9).

I divided the 16a by the 8 and 72 by the 8 and if you

distribute it back you will end up with the original polynomial.

So our answer 8(2a + 9).

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