Q17: Factor the expression. 3x *squared* −5x−12

Question

Q17: Factor the expression. 3x *squared* −5x−12

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Athena 2 weeks 2021-10-14T03:19:13+00:00 2 Answers 0

Answers ( )

    0
    2021-10-14T03:20:18+00:00

    Answer:

    (x – 3)(3x + 4)

    Step-by-step explanation:

    Given

    3x² – 5x – 12

    Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

    product = 3 × – 12 = – 36 and sum = – 5

    The factors are – 9 and + 4

    Use these factors to split the x- term

    3x² – 9x + 4x – 12 ( factor the first/second and third/fourth terms )

    3x(x – 3) + 4(x – 3) ← factor out (x – 3) from each term

    = (x – 3)(3x + 4) ← in factored form

    0
    2021-10-14T03:20:59+00:00

    Answer:

    (3x + 4)(x – 3)

    Step-by-step explanation:

    3x² – 5x – 12 = (3x + 4)(x – 3)

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