SOLUTION: Find a fifth-degree polynomial that has a zero of multiplicity 2 at x = 2, a zero at x = 3, and the factor x2 + 2x + 4.

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Question 848839: Find a fifth-degree polynomial that has a zero of multiplicity 2 at x = 2, a zero at x = 3, and the factor x2 + 2x + 4.
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Polynomial with multiplicity 2 at x =2 : %28x-2%29%5E2
Polynomial with zero at x = 3 %28x-3%29
Factor x%5E2%2B2x%2B4
Multiply it all together.
%28x-2%29%5E2+%2A+%28x-3%29+%2A+%28x%5E2%2B2x%2B4%29
I will spare you the tedious work to multiply this all out but we end up with:
x%5E5-5x%5E4%2B6x%5E3-8x%5E2%2B40x-48