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30 October, 03:27

What would X/2x-14 • x^2-7x/5 equal to

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  1. 30 October, 06:54
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    x2+7x-2x-14

    Final result:

    (x + 7) • (x - 2)

    Reformatting the input:

    Changes made to your input should not affect the solution:

    (1) : "x2" was replaced by "x^2".

    Step by step solution:

    Step 1:

    Trying to factor by splitting the middle term

    1.1 Factoring x2+5x-14

    The first term is, x2 its coefficient is 1.

    The middle term is, + 5x its coefficient is 5.

    The last term, "the constant", is - 14

    Step-1 : Multiply the coefficient of the first term by the constant 1 • - 14 = - 14

    Step-2 : Find two factors of - 14 whose sum equals the coefficient of the middle term, which is 5.

    -14 + 1 = - 13

    -7 + 2 = - 5

    -2 + 7 = 5 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 2 and 7

    x2 - 2x + 7x - 14

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

    x • (x-2)

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

    7 • (x-2)

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

    (x+7) • (x-2)

    Which is the desired factorization

    Final result:

    (x + 7) • (x - 2)
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