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28 December, 02:03

Determine whether the binomial (x+2) is a factor of the polynomial P (x) = x^3+12x^2+47x+60

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  1. 28 December, 05:58
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    Not a factor

    Step-by-step explanation:

    using the Remainder theorem

    If (x + 2) is a factor then x = - 2 is a root and P ( - 2) = 0

    P ( - 2) = ( - 2) ³ + 12 ( - 2) ² + 47 ( - 2) + 60

    = - 8 + 48 - 94 + 60 = 6 ≠ 0, hence

    (x + 2) is not a factor of P (x)
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