The polynomial function f(x)=ax^4 - 7x^3 + 65x^2 - 62x - b has one of its zeros at x=3 and passes through the point (-2,360). a. Use the given information to determine the values of a and b. b. Use the given information to state one of the factors of f(x). c. Find all the other factors of f(x).

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.