SOLUTION: Question Part Points Submissions Used Solve the equation by factoring. (Enter your answers as a comma-separated list.) x4 + 4x3 − 25x2 − 100x = 0

Algebra ->  Equations -> SOLUTION: Question Part Points Submissions Used Solve the equation by factoring. (Enter your answers as a comma-separated list.) x4 + 4x3 − 25x2 − 100x = 0       Log On


   

Question 998832: Question Part
Points
Submissions Used
Solve the equation by factoring. (Enter your answers as a comma-separated list.)
x4 + 4x3 − 25x2 − 100x = 0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4+%2B+4x%5E3+-25x%5E2+-100x+=+0

x%28x%5E3+%2B+4x%5E2+-25x+-100%29+=+0
x%28%28x%5E3-25x%29+%2B+%284x%5E2++-100%29%29+=+0
x%28x%28x%5E2-25%29+%2B+4%28x%5E2++-25%29%29+=+0
x%28%28x+%2B+4%29%28x%5E2++-25%29%29+=+0
x%28x+%2B+4%29%28x%5E2++-5%5E2%29+=+0
x%28x+%2B+4%29%28x++-5%29%28x+%2B5%29+=+0
solutions:
highlight%28x+=+0%29
%28x+%2B+4%29+=+0=>highlight%28x=-4%29
%28x++-5%29+=+0=>highlight%28x=5%29
%28x+%2B5%29+=+0=>highlight%28x=-5%29