SOLUTION: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials wi

You can put this solution on YOUR website!
If one of the roots is , then must also be a root because complex roots come in conjugate pairs .

Now that we know all three roots, namely 4, , and , we can create a linear binomial factor and a quadratic factor that will represent the desired degree three polynomial.

Factor 1:

Factor 2:




Complete the expression for f(x)