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9 June, 21:27

3x squared minus 7x minus 34 is less than or equal to - 10x + 2

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  1. 10 June, 01:19
    0
    x = -2 or 0

    Step-by-step explanation:

    Factoring 7x2+3x-34

    The first term is, 7x2 its coefficient is 7.

    The middle term is, + 3x its coefficient is 3.

    The last term, "the constant", is - 34

    Step-1 : Multiply the coefficient of the first term by the constant 7 • - 34 = - 238

    Step-2 : Find two factors of - 238 whose sum equals the coefficient of the middle term, which is 3.

    -238 + 1 = - 237

    -119 + 2 = - 117

    -34 + 7 = - 27

    -17 + 14 = - 3

    -14 + 17 = 3 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 14 and 17

    7x2 - 14x + 17x - 34

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

    7x • (x-2)

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

    17 • (x-2)

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

    (7x+17) • (x-2)

    Which is the desired factorization

    (x - 2) • (7x + 17) = 0
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