Interesting Polynomial Coefficient Problem

This is an interesting problem that approaches higher-degree polynomials from a different perspective. Given a third-degree polynomial, two known zeros, and a y-intercept, find the value of the polynomialÕs coefficients. This problem challenges the learner to understand better zeros, graphs of polynomials, factors, and the algebra behind multiplying polynomials. This problem has several correct solutions, which makes it challenging and still within the reach of a second-year algebra student.