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Chapter 6: Q. 420 (page 636)

Recognize and Use the Appropriate Method to Factor a Polynomial Completely.

60x2y-75x+30y

Short Answer

Expert verified

The factors of the given expression are15(4x2y-5x+2y).

Step by step solution

01

Step 1. Given and explanation.

We have 60x2y-75x+30y.

We will take the common factor out, if any. The we will further factor out the expression if posisble.

02

Step 2. Taking common factor out and simplifying.

We have 60x2y-75x+30y.

Taking 15common will give us,

15(4x2y-5x+6y).

This cannot be further factored as it is prime.

This shows tat the factors of the expression are15(4x2y-5x+6y)

03

Step 3. Check the solution.

We will check the solution by simply multiplying the factors. If we get the given equation as the product, our answer is right.

So,

=15(4x2y-5x+6y)=60x2y-75x+60y

Thus our calculations are right.

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