SOLUTION: Write the polynomial with integral coefficients that has the given numbers as solutions and the indicated degree: -1/3, 2-i, 3, and -1; degree 5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the polynomial with integral coefficients that has the given numbers as solutions and the indicated degree: -1/3, 2-i, 3, and -1; degree 5      Log On


   

Question 1028272: Write the polynomial with integral coefficients that has the given numbers as solutions and the indicated degree:
-1/3, 2-i, 3, and -1; degree 5
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Build the polynomial using the linear binomial factors, and include the other needed complex root.

%28x%2B1%2F3%29%28x-3%29%28x%2B1%29%28x-%282-i%29%29%28x-%282%2Bi%29%29

Next, fully multiply the expression to "simplify" into the degree-5 polynomial. MANY MANY STEPS, but you already know how to do them.