Explore BrainMass

Explore BrainMass

    Factoring by grouping given polynomial group terms

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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?

    © BrainMass Inc. brainmass.com December 15, 2022, 7:53 pm ad1c9bdddf
    https://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?  What is a prime polynomial?  Please show examples for both. 

    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.

    $2.49

    ADVERTISEMENT