SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x)=x^3-x^2+16x-16

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x)=x^3-x^2+16x-16       Log On


   

Question 849104: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x)=x^3-x^2+16x-16

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

f(x)=x^3-x^2+16x-16   | x = 1, one root: 1 - 1 +16 -16 = 0

Using synthetic Division

1	1	-1	16	-16

				

		1	0	16

	1	0	16	0

 f(x)= (x-1)(x^2 + 16)