Factorise 6^3+11x^2-12x-5 PLEASE ANSWER URGENT

Question

Factorise 6^3+11x^2-12x-5
PLEASE ANSWER URGENT

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Verity 1 month 2021-08-15T05:00:52+00:00 1 Answers 0 views 0

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    2021-08-15T05:02:18+00:00

    Answer:

    (x – 1)(3x + 1)(2x + 5)

    Step-by-step explanation:

    Given

    6x³ + 11x² – 12x – 5

    The sum of the coefficients = 6 + 11 – 12 – 5 = 0

    Hence x = 1 is a root and (x – 1) a factor

    Dividing 6x³ + 11x² – 12x – 5 by (x – 1) using Synthetic division

    1 | 6   11   – 12   – 5

         ↓    6    17      5

      ————————-

         6   17    5       0 ← remainder

    Quotient = 6x² + 17x + 5

    Thus

    6x³ + 11x² – 12x – 5 =(x – 1)(6x² + 17x + 5) = (x – 1)(3x + 1)(2x + 5)

       

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