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25 July, 10:18

Zeros : -1,1,3; degree:3

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  1. 25 July, 10:43
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    y = x³ - 3x² - x + 3

    Step-by-step explanation:

    Given the zeros x = - 1, x = 1 and x = 3 then

    (x + 1), (x - 1) and (x - 3) are the factors and the polynomial is the product of the factors, hence

    y = a (x - 1) (x + 1) (x - 3) ← a is a multiplier

    let a = 1 and expand the factors

    y = (x² - 1) (x - 3)

    = x³ - x - 3x² + 3

    = x³ - 3x² - x + 3 ← in standard form
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