SOLUTION: For the polynomial below, 3 is a zero. g(x)=x^3-2x^2-5x+6 express g(x) as a product of linear factors

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For the polynomial below, 3 is a zero. g(x)=x^3-2x^2-5x+6 express g(x) as a product of linear factors      Log On


   

Question 1149522: For the polynomial below, 3 is a zero.
g(x)=x^3-2x^2-5x+6
express g(x) as a product of linear factors
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

Divide the given polynomial by the binomial (x-3)  //(long division).


You will get the quotient as the quadratic polynomial.


Then find the roots of this quadratic.  


If these roots are real numbers, then it will give you the desired decomposition of the given polynomial into the product of linear binomials.