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. what is the factored form of the polynomial? is case correct?

Step-by-step explanation:

The product of roots will be the opposite of the constant in an odd-degree polynomial. The actual zero crossings multiply to give +45, not the -45 that Cade's answer gives.

The numbers Cade lists are the constants in the binomial factors, not the roots of the polynomial. The polynomial's roots are opposite Cade's numbers: 3, -3, -5.

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Another way you can tell Cade's answer is wrong is that the sequence of signs of the polynomial coefficients is ++--, so there is one sign change. Descartes' rule of signs tells you that means there is exactly one positive real root. Cade lists two: 3, and 5.