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Asked Oct 9, 2019
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step by step help please

Practice Problem 1: Use the Factor Theorem to find zeros of f (x) = x3 + 4x2 -
4x - 16 given that (x - 2) is a factor of the polynomial.
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Practice Problem 1: Use the Factor Theorem to find zeros of f (x) = x3 + 4x2 - 4x - 16 given that (x - 2) is a factor of the polynomial.

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Expert Answer

Step 1

Given:

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f(x) x4x2-4x -16 with (x-2) is a factor of this.

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Step 2

Concept used:

Factor theorem: Suppose f(x) is a nonzero polynomial. Then (x-c) is a factor of f(x)  if and only if c is a zero of f(x).

That is,

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A polynomialf(x) has a factor (x-c) if and only if f (c) = 0.

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Step 3

From the given information (x-2) is a factor of polyno...

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x26x8 x-2x4x24x -16 6x2-4x 6x2-12x 8x -16 8.x -16 0

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