SOLUTION: Complex Zeros and the Fundamental Theorem of Algebra Please help me and show all work. Thanks in advance. Given P(x)=x^3+2x^2+4x+8 Write P in factored form (as a product

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Complex Zeros and the Fundamental Theorem of Algebra Please help me and show all work. Thanks in advance. Given P(x)=x^3+2x^2+4x+8 Write P in factored form (as a product       Log On


   

Question 1021755: Complex Zeros and the Fundamental Theorem of Algebra
Please help me and show all work. Thanks in advance.

Given P(x)=x^3+2x^2+4x+8
Write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=
.
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3%2B2x%5E2%2B4x%2B8
group these

%28x%5E3%2B2x%5E2%29%2B%284x%2B8%29

Factor x^2 from first group and 4 from second

%28%28x%5E2%29%28x%2B2%29%29%2B%284%28x%2B2%29%29

Factor out x+2 from both pieces
%28x%2B2%29%28x%5E2%2B4%29

oh, P(x)=%28x%2B2%29%28x%5E2%2B4%29