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25 July, 00:37

Factor the following expression.

x2 + 9x + 14

x2 + 9x + 14 =

+3
Answers (1)
  1. 25 July, 02:36
    0
    Answer:x = 7

    x = 2

    Step-by-step explanation:

    The first term is, x2 its coefficient is 1.

    The middle term is, - 9x its coefficient is - 9.

    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 - 9.

    -14 + - 1 = - 15

    -7 + - 2 = - 9 That's it

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

    x2 - 7x - 2x - 14

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

    x • (x-7)

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

    2 • (x-7)

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

    (x-2) • (x-7)

    Which is the desired factorization
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