Use a graphing utility to graph the polynomial functions p(x) x x 1 and p(x) x x How many zeros does each function have Is there a cubic polynomial that has no zeros Explain

Question: Use a graphing utility to graph the polynomial functions p(x) = x - x + 1 and p(x) = x -x. How many zeros does

Use a graphing utility to graph the polynomial functions p₁(x) = x³ - x + 1 and p₂(x) = x³ -x. How many zeros does each function have? Is there a cubic polynomial that has no zeros? Explain.

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