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Chapter 6: Q. 341 (page 634)

In the following exercises, factor the greatest common factor from each polynomial.

35y+84

Short Answer

Expert verified

The factored form of the polynomial is75y+12.

Step by step solution

01

Step 1. Given information.

The polynomial is,

35y+84

02

Step 2. Finding the greatest common factor.

Now, the greatest common factor for the given polynomial will be

35y+84鈬�35y=5脳7脳y鈬�84=2脳2脳3脳7

Then the greatest common factor is7.

03

Step 3. Factoring the polynomial.

Now using distributive property factor the polynomial.

35y+84=7脳5y+7脳12=75y+12

Hence, the simplified polynomial is75y+12.

04

Step 4. Checking the result.

Multiplying the factors we get,

75y+12=35y+84.

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