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5 June, 10:16

6) Name all factors of x3 - 3x2 - 10x.

A. x

B. x + 5

C. x - 5

D. x + 2

E. x - 2

F. 2

G. 5

H. None of the above

its not on edg

+2
Answers (1)
  1. 5 June, 11:16
    0
    A. x

    C. x - 5

    D. x + 2

    Step-by-step explanation:

    From the question above, we are asked to find the factors of an algebraic expression that is given as:

    x³ - 3x² - 10x

    We would use the step of factorisation

    Step 1

    x (x² - 3x - 10)

    The first factor of the algebraic expression has been obtained = x

    Step 2

    We factorise x² - 3x - 10

    x² + 2x - 5x - 10

    (x²+2x) - (5x - 10)

    x (x + 2) - 5 (x + 2)

    (x + 2) (x - 5)

    Step 3

    x³ - 3x² - 10x

    x (x² - 3x - 10)

    (x) (x + 2) (x - 5)

    Therefore, the factors of the algebraic expression are:

    (x), (x + 2), (x - 5)
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