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    Factoring by grouping given polynomial group terms

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    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?

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    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.