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11 December, 12:12

Create a quadratic polynomial function f (x) and a linear binomial in the form (x - a).

Show all work using long division to divide your polynomial by the binomial.

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  1. 11 December, 12:33
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    X - a is divisor of f (x) if and only if f (a) = 0

    f (x) = x^2 - 1

    linear binomial: x + 1

    (x^2 - 1) / (x + 1) = (x + 1) (x - 1) / (x + 1) = x - 1

    hence is a divisor

    f (1) = 0

    so it corroborates the reminder theorem
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