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Chapter 6: Q. 348 (page 634)

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

3x(x鈭�1)+5(x鈭�1)

Short Answer

Expert verified

The factored form of the polynomial is,

(x-1)(3x+5).

Step by step solution

01

Step 1. Given Information 

We are given a polynomial,

3x(x鈭�1)+5(x鈭�1)

02

Step 2. Factorizing the polynomial

It can be seen that the greatest common factor of given polynomial isx-1, so

3x(x鈭�1)+5(x鈭�1)=(x-1)(3x+5)

03

Step 3. Checking the factorization

Multiplying the factors,

(x-1)(3x+5)=3x(x鈭�1)+5(x鈭�1)3x(x鈭�1)+5(x鈭�1)=3x(x鈭�1)+5(x鈭�1)LHS=RHS

Hence the factorization is correct.

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