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20 July, 06:34

Determine the zeros & the y-intercept of the function 3 (x-3) (x-2)

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  1. 20 July, 07:00
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    see explanation

    Step-by-step explanation:

    Given

    y = 3 (x - 3) (x - 2)

    To find the x - intercepts, let y = 0, that is

    3 (x - 3) (x - 2) = 0

    Equate each factor to zero and solve for x

    x - 3 = 0 ⇒ x = 3

    x - 2 = 0 ⇒ x = 2

    Thus the x - intercepts are x = 2 and x = 3

    To find the y - intercept let x = 0 and equate for y, that is

    y = 3 (0 - 3) (0 - 2) = 3 ( - 3) ( - 2) = 3 * 6 = 18

    Thus the y - intercept is y = 18
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