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.

(x + 2)(x + 3) + (x − 1)(x + 3)

Accepted Answer

Hello, everyone. In the following expression. What is the greatest binomial common factor or binomial G C F? We have the expression in parentheses. H plus four, multiplied by the parentheses. H plus five plus the parentheses, H minus six, multiplied by the parentheses. H plus five. Our answer choices are A H plus four, B H plus five C H minus six D two multiplied by the parentheses. H minus one. Looking back at my original expression I have again in parentheses, H plus four multiplied by the parentheses. H plus five Plus the parentheses, H -6 multiplied by the parent CH Plus five. I recall that when I'm looking for a binomial G C F, I want to find the largest binomial. I can take out of both terms. In this case, both terms are made of two binomials. So I'm gonna see what they have in common. And when I go back to them, I noticed that both terms have a parentheses. That is H plus five. Since there's only that in common between both terms, that is our binomial G C F. So our binomial G C F is H plus five, which is answer choice. B, have a nice day.

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In Exercises 35–44, factor the greatest common binomial factor from each polynomial. (x + 2)(x + 3) + (x − 1)(x + 3)