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20 June, 23:33

Factor 20x2 + 25x - 12x - 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials.

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  1. 20 June, 23:43
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    Step 1:

    (((22•5x2) + 25x) - 12x) - 15)))

    The first term is, 20x2 its coefficient is 20.

    The middle term is, + 13x its coefficient is 13.

    The last term, "the constant", is - 15

    step 2 above, - 12 and 25

    20x2 - 12x + 25x - 15

    Step-4 : Add up the first 2 terms, pulling out like factors:

    4x • (5x-3)

    Add up the last 2 terms, pulling out common factors:

    5 • (5x-3)

    Step-5 : Add up the four terms of step 4:

    (4x+5) • (5x-3)

    Which is the desired factorization Final result : (5x - 3) • (4x + 5)
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