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Chapter 7: Q. 304 (page 878)

In the following exercises, factor completely.

5q2鈭�15q鈭�90

Short Answer

Expert verified

The factored form of the polynomial is 5q+3q-6.

Step by step solution

01

Step 1. Given Information.

The given polynomial is 5q2-15q-90.

02

Step 2. Factoring 

Let's find the GCF and factor out the GCF,

5q2-3q-30

In the parentheses, the polynomial is a trinomial.

To factor, the given polynomial we will use the "Undo" FOIL method.

So,

5q2-3q-18=5q2-6q+3q-18=5qq-6+3q-6=5q+3q-6

The polynomial is factored completely.

Thus, the factored form is 5q+3q-6

03

Step 3. Check the answer 

To check the answer, expand the factored form we get,

5q2-15q-90=5q+3q-65q2-15q-90=5q2-6q+3q-185q2-15q-90=5q2-3q-185q2-15q-90=5q2-15q-90

L.H.S = R.H.S

Thus, the answer is right.

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