SOLUTION: thanks for the previous answer. Pls, I need help in this one. it's that urgent Factor the polynomial x^3-4x^2-7x+10 completely if -2 is a zero.

Algebra ->  Functions -> SOLUTION: thanks for the previous answer. Pls, I need help in this one. it's that urgent Factor the polynomial x^3-4x^2-7x+10 completely if -2 is a zero.      Log On


   

Question 140718: thanks for the previous answer. Pls, I need help in this one. it's that urgent
Factor the polynomial x^3-4x^2-7x+10 completely if -2 is a zero.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
x%5E2-4x%5E2-7x%2B10 if -2 is a "zero"
If -2 is a zero of this equation, then x+2 is one of the factors of the equation.
To find the other two factors, you should divide the given equation by x+2.
When I did this, I got:
x%5E2-6x%2B5 Now you can factor this into:
%28x-5%29%28x-1%29 so the complete factorisation of the given equation would be:
x%5E3-4x%5E2-7x%2B10+=+%28x%2B2%29%28x-5%29%28x-1%29
You can confirm this by multiplying these three factors to see that you get back the given equation.