Cade factored the polynomial $ y = x^3 + 5x^2 - 9x - 45 $ and said that the polynomial crosses the x-axis...

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Cade factored the polynomial $ y = x^3 + 5x^2 - 9x - 45 $ and said that the polynomial crosses the x-axis at $-3, 3,$ and $5$. Part A: What is the factored form of the polynomial? Part B: Is Cade correct? Why or why not?

SnapAndSolve AI · Accepted Answer

The factored form of the polynomial $ y = x^3 + 5x^2 - 9x - 45 $ is $(x + 3)(x - 3)(x - 5)$. Cade is correct. The factored form $(x + 3)(x - 3)(x - 5)$ indicates that the polynomial crosses the x-axis at $-3, 3,$ and $5$, which are the roots of the polynomial.

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Cade factored the polynomial \( y = x^3 + 5x^2 - 9x - 45 \) and said that the polynomial crosses the x-axis...

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