SOLUTION: How do I find real zeros (real and complex) and factor completely?? P(x) = x^3 + 5x^2 + 8x (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separate

Algebra ->  Rational-functions -> SOLUTION: How do I find real zeros (real and complex) and factor completely?? P(x) = x^3 + 5x^2 + 8x (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separate      Log On


   

Question 1186286: How do I find real zeros (real and complex) and factor completely??
P(x) = x^3 + 5x^2 + 8x
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3%2B5x%5E2%2B8x
x%28x%5E2%2B5x%2B8%29
One obvious Zero is at 0, and if you will use general solution for quadratic formula you will find the other two Zeros.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

P%28x%29+=+x%5E3+%2B+5x%5E2+%2B+8x+.......equal to zero and factor completely

0=+x%28x%5E2+%2B+5x+%2B+8%29+
0=+x%28x%5E2+%2B+5x+%2B+8%29+
zeros:
x=0
x%5E2+%2B+5x+%2B+8=0.....use quadratic formula
x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A8+%29%29%2F%282%2A1%29+
x+=+%28-5+%2B-+sqrt%28+25-32+%29%29%2F2+
x+=+%28-5+%2B-+sqrt%28+-7+%29%29%2F2+

x+=+%28-5+%2B-+sqrt%287+%29%2Ai%29%2F2+
zeros: x+=+%28-5+%2Bsqrt%287+%29%2Ai%29%2F2+ or x+=+%28-5+-sqrt%287+%29%2Ai%29%2F2+

answer:0,+%28-5+%2Bsqrt%287+%29%2Ai%29%2F2+,+%28-5+-sqrt%287+%29%2Ai%29%2F2+