Factor this expression completely. 2x^2 + 11x + 15

Question

Factor this expression completely. 2x^2 + 11x + 15

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Piper 10 mins 2021-10-14T04:04:32+00:00 2 Answers 0

Answers ( )

    0
    2021-10-14T04:06:08+00:00

    Answer:

    (x+3)(2x+5)

    Step-by-step explanation:

    2x+11x+15

    2x^2+6x+5x+15

    2x (x) (x+3)+5(x+3)

    = (x+3)(2x+5)

    0
    2021-10-14T04:06:24+00:00

    Answer:

    (2x + 5) (x + 3)

    Step-by-step explanation:

    Use the AC method.  To factor ax² + bx + c:

    1. Multiply a and c
    2. Find factors of ac that add up to b
    3. Divide each factor by a and reduce the fractions
    4. The numerators are the constants, the denominators are the coefficients

    In this case, a = 2, b = 11, and c = 15.

    1. ac = 2 × 15 = 30
    2. Factors of 30 that add up to 11 are 5 and 6
    3. Divide by a and reduce: 5/2 and 6/2 = 3/1
    4. Factors are 2x + 5 and x + 3

    Therefore:

    2x² + 11x + 15 = (2x + 5) (x + 3)

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