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shayna3 Group Title

Part 1: Determine whether 2 is a zero of the polynomial P(x) = 3x3 – 6x2 – 3x – 18 by using the Remainder Theorem. Show your work. (4 points) Part 2: Explain how the Remainder Theorem is useful in finding the zeros of a polynomial function. (4 points)

  • 2 years ago
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    If 2 is a zero of the polynomial, then P(2) = 0

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    P(x) = 3x^3 - 6x^2 - 3x - 18 P(2) = 3(2)^3 - 6(2)^2 - 3(2) - 18 P(2) = 3(8) - 6(4) - 6 - 18 P(2) = 24 - 24 - 6 - 18 P(2) = 0 - 6 - 18 P(2) = -24 However, since P(2) = -24, 2 is not a zero of the polynomial function P(x).

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