In Exercises 35–44, factor the greatest common binomial factor fr...

Question

In Exercises 35–44, factor the greatest common binomial factor from each polynomial.4x²(3x−1) + 3x − 1

Accepted Answer

Hello, everyone. In the following expression, what is the greatest binomial common factor or binomial G C F? The expression we're given is 12 G squared multiplied by the parentheses. Eight G minus five plus eight G minus five. Our answer choices are a eight G minus five B eight G C8 G cubed Or D 96 G cubed -5. I'm gonna rewrite my original expression. So 12 G cubed multiplied by the parentheses, eight G minus five plus eight G minus five. So I don't clearly see two separate terms here because I only have one value in parentheses. I have one set that is 8G -5. However, I do recognize that the end of this expression also has 8G -5. So I'm going to group those together. I'm adding a set of parentheses around 8G -5. That are the last two terms. The reason I do this is because now I can look at this as if it is plus one times the parentheses, 8G -5. Now I have two distinct terms. I have the term 12 G squared multiplied by the parentheses, eight G minus five And the term one multiplied by the parentheses, eight G -5. Now, there's a binomial that both terms have in common, they both have 8G -5 in common. So that would be the largest binomial. I could take out of both terms making it my binomial G C F. So the binomial GCF is 8G - which is answer choice A have a nice day.

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In Exercises 35–44, factor the greatest common binomial factor from each polynomial.4x²(3x−1) + 3x − 1

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