Factor 20×2 + 25x – 12x – 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the polynomial

Question

Factor 20×2 + 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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    0
    2021-09-19T03:32:02+00:00

    Step 1:

    (((22•5×2) + 25x) – 12x) – 15)))


    The first term is,  20×2  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 
                         20×2 – 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 factorizationFinal result : (5x – 3) • (4x + 5)

    0
    2021-09-19T03:32:50+00:00

    Answer:

    (5x – 3) • (4x + 5)

    Step-by-step explanation:

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