Identify zeros of polynomials when suitable factorizations are available and use the zeros to construct a rough graph of the function defined by the polynomial.

Sample Practice Questions (3)

Based on the graph of the polynomial function

p (x)

shown below, which of the following could be the factored form of

p (x)

p (x) = (x + 3) (x - 1) (x - 4)

p (x) = (x - 3) (x + 1) (x + 4)

p (x) = x (x + 3) (x - 1) (x - 4)

p (x) = (x + 3)^{2} (x - 1) (x - 4)

Which set of points represents the

x

-intercepts of the graph of the function

g (x) = x (x + 2) (x - 4)

(0, 0), (- 2, 0), (4, 0)

(0, 0), (2, 0), (- 4, 0)

(- 2, 0), (4, 0)

(2, 0), (- 4, 0)

Based on the provided graph, what are the zeros of the polynomial function?

{- 2, 1, 4}

{2, - 1, - 4}

{- 2, 0, 4}

{1, 4}

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