SOLUTION: A polynomial f(x) with real coefficients and leading coefficient 1 has the given zero and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coeffic

Algebra ->  Rational-functions -> SOLUTION: A polynomial f(x) with real coefficients and leading coefficient 1 has the given zero and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coeffic      Log On


   

Question 1113490: A polynomial f(x) with real coefficients and leading coefficient 1 has the given zero and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over the set of real numbers.
6 + 3i; degree 2
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
The other root is 6-3i.

f%28x%29=%28x-%286%2B3i%29%29%28x-%286-3i%29%29
Simplify and do what you need to.