SOLUTION: hi i have a question about polynomial functions p(x)=x^3-x^2-9x+9 it says write p(x) as a product of linear factor so what should do? thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: hi i have a question about polynomial functions p(x)=x^3-x^2-9x+9 it says write p(x) as a product of linear factor so what should do? thank you      Log On


   



Question 696718: hi i have a question about polynomial functions
p(x)=x^3-x^2-9x+9
it says write p(x) as a product of linear factor so what should do?
thank you

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
They basically are asking you to factor the polynomial. "Linear factors" mean they want the factors all with degree of 1.
.
p(x)=x^3-x^2-9x+9
group terms:
p(x)=(x^3-x^2)-(9x-9)
p(x)=x^2(x-1)-9(x-1)
p(x)=(x-1)(x^2-9)
p(x)=(x-1)(x^2-3^2)
p(x)=(x-1)(x-3)(x+3)