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
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Question 114557: 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 with real coefficients. Answer by solver91311(24713) (Show Source):
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.
