SOLUTION: I need help with this homework question: find the polynomial written as a product of linear factors. f(x)=x^4-15x^2+10x+24

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help with this homework question: find the polynomial written as a product of linear factors. f(x)=x^4-15x^2+10x+24      Log On


   

Question 86424: I need help with this homework question: find the polynomial written as a product of linear factors. f(x)=x^4-15x^2+10x+24
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^4-15x^2+10x+24
---------
I graphed it to find zeroes at x=-4, x=-1, x=2, and x=3
---------
You could also find the zero at x=-1 and then use synthetic
division to find the others.
-----------
graph%28400%2C300%2C-10%2C10%2C-70%2C40%2Cx%5E4-15x%5E2%2B10x%2B24%29
---------------------
Cheers,
Stan H.