What is the factored form of the polynomial? x2 – 12x + 272 O (x + 4)(x + 3) (x – 4)(x+3) 0 (x + 9)(x + 3) 10

Question

What is the factored form of the polynomial?
x2 – 12x + 272
O (x + 4)(x + 3)
(x – 4)(x+3)
0 (x + 9)(x + 3)
10 (x-9)(x-3)
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Aaliyah 1 week 2021-10-05T18:37:32+00:00 1 Answer 0

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    2021-10-05T18:39:18+00:00

    Complete Question:

    What is the factored form of the polynomial?

    x2 – 12x + 27

    Options

    x + 4)(x + 3)

    (x – 4)(x+3)

    (x + 9)(x + 3)

    (x-9)(x-3)

    Answer:

    The factored form of the polynomial is: (x – 3)(x – 9)

    Solution:

    Given that the polynomial is:

    x^2 -12x + 27

    We have to factor the above given polynomial

    From given,

    x^2 -12x + 27\\\\\mathrm{Break\:the\:expression\:into\:groups}\\\\\left(x^2-3x\right)+\left(-9x+27\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-3x\\\\x(x - 3) + (-9x + 27)\\\\\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9x+27\\\\x(x - 3) -9(x - 3)

    \mathrm{Factor\:out\:common\:term\:}x-3\\\\\left(x-3\right)\left(x-9\right)

    Thus the factored form is found

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45:7+7-4:2-5:5*4+35:2 =? ( )