Answer:
- y = (x +5)(x +3)(x -3)
- No, Cade is not 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.
_____
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.
