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Math Asked by a SnapAndSolve user · about 3 hours ago

Select all of the true statements about this function. p(x) = 2x^3 - 14x - 12 p(-1) = 0 p(3) = 0 x + 1 is a...

Select all of the true statements about this function.
p(x) = 2x^3 - 14x - 12
p(-1) = 0
p(3) = 0
x + 1 is a factor of p(x).
x - 3 is a factor of p(x).

Answer

  1. Calculate p(-1):

    p(-1) = 2(-1)^3 - 14(-1) - 12 = -2 + 14 - 12 = 0. True

  2. Calculate p(3):

    p(3) = 2(3)^3 - 14(3) - 12 = 54 - 42 - 12 = 0. True

  3. If p(-1) = 0, then x + 1 is a factor of p(x). True

  4. If p(3) = 0, then x - 3 is a factor of p(x). True

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