Chapter 6: Q. 418 (page 636)

Recognize and Use the Appropriate Method to Factor a Polynomial Completely.
$4 u^{5} v + 4 u^{2} v^{3}$

Short Answer

Expert verified

The factors of the given expression are $4 u^{2} v (u^{3} + v^{2})$ .

Step by step solution

Step 1. Given and explanation.

We have $4 u^{5} v + 4 u^{2} v^{3}$ .

We will firstly take out the common factors, if any, from the equation. Then we will proceed further for factorizing it, if possible.

Step 2. Taking common factor out.

We have $4 u^{5} v + 4 u^{2} v^{3}$ .

We can take $4 u^{2} v$ common from the equation and it will give us,

$= 4 u^{5} v + 4 u^{2} v^{3} = 4 u^{2} v (u^{3} + v^{2})$

This cannot be further factorized so the factors of the given equation are $4 u^{2} v (u^{3} + v^{2})$ .

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,

$= 4 u^{2} v (u^{3} + v^{2}) = 4 u^{5} v + 4 u^{2} v^{3}$

Thus our calculations are right.

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Recognize and Use the Appropriate Method to Factor a Polynomial Completely.
$4 u^{5} v + 4 u^{2} v^{3}$

Short Answer

Step by step solution

Step 1. Given and explanation.

Step 2. Taking common factor out.

Step 3. Check the solution.

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Recognize and Use the Appropriate Method to Factor a Polynomial Completely.4u5v+4u2v3

Short Answer

Step by step solution

Step 1. Given and explanation.

Step 2. Taking common factor out.

Step 3. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

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Recognize and Use the Appropriate Method to Factor a Polynomial Completely.
$4 u^{5} v + 4 u^{2} v^{3}$