Factor out the greatest common factor from the following polynomial. 8(x+7)+9a(x+7) Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. 8(x+7)+9a(x+7) (Type your answer in factored form.) 8(x+7)+9a(x+7)=square B. The polynomial has no common factor other than 1.

Question

Factor out the greatest common factor from the following polynomial. 8(x+7)+9a(x+7) Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. 8(x+7)+9a(x+7) (Type your answer in factored form.) 8(x+7)+9a(x+7)=square B. The polynomial has no common factor other than 1.

Answer 1

A. \(8(x+7)+9a(x+7)=(x+7)(8+9a)\)

Answer 2

## Step 1The given polynomial is \(8(x+7)+9a(x+7)\). We need to factor out the greatest common factor from this polynomial.## Step 2Looking at the polynomial, we can see that both terms have a common factor of \((x+7)\).## Step 3We can factor out the common factor \((x+7)\) from both terms. This gives us \((x+7)(8+9a)\).

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