# Factoring by grouping given polynomial group terms

What is factoring by grouping? What is a prime polynomial? Please show examples for both.

What is a common factor? Where do you use the common factor in an expression consisting of various terms?

What is a zero factor property? How does this help in solving equations?

Â© BrainMass Inc. brainmass.com December 15, 2022, 7:53 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/factoring-grouping-polynomial-group-terms-257733

#### Solution Preview

Dear student,

I have completed and attached the solution.

What is factoring by grouping?Â Â What is a prime polynomial?Â Â Please show examples for both.Â

Factoring by grouping given polynomial group terms and find the factors

Eg x2 + 5x + 6 = 0

This equation can be written as x2 +3x +2x + 6 ( ie 5x = 3x + 2x)

Group the terms x2 ,3x and 2x, 6

(x2 +3x) + (2x + 6) = 0

Now take common factors from each group

x(x +3) +2(x +3) = 0

x(x +3) is one ...

#### Solution Summary

This solution provides a detailed step by step explanation of the given algebraic problems.