Using a given zero to write a polynomial as a product of linear factors

Algebra
Tutor: None Selected Time limit: 1 Day

For the polynomial below, 3 is a zero. 

f(x)= x^3 - x^2 - 12x + 18

Express f(x) as a product of linear factors.

Oct 16th, 2015

Thank you for the opportunity to help you with your question!

x3x2−12x+18 / x−3 x2+2x−6

that is

x3x2−12x+18= (x−3) (x2+2x−6)

Equation to solve is:

x2+2x−6=0

The solutions are:

x1=−1+√7

x2=−1−√7

x3−x2−12x+18 =  (x−3) (x+ 1-√7) (x +1+√7)


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 16th, 2015

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