Polynomial Function

Question

A polynomial function f(x) can be written as a product of two polynomials if f can be factored. Hence if f can be factored, then f(x) = q(x)g(x) where q and g are both polynomial functions. Write f(x) = 6 x^3+26 x^2-26 x-30 as a product of two polynomials given that f(-5)=0

 

q(x)g(x)=_________________

Answer 1

-5 is a zero, therefore (x + 5) is a factor.

 

Using synthetic division, the other factor is:

 

6x² - 4x - 6