SOLUTION: Verify that they given binomial is a factor of p(x) , and write p(x) as a product of the binomial and it reduced polynomial q(x) P(x) =x^3+3x^2+x-5,x-1 P(x)=

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Verify that they given binomial is a factor of p(x) , and write p(x) as a product of the binomial and it reduced polynomial q(x) P(x) =x^3+3x^2+x-5,x-1 P(x)=      Log On


   



Question 1201503: Verify that they given binomial is a factor of p(x) , and write p(x) as a product of the binomial and it reduced polynomial q(x)
P(x) =x^3+3x^2+x-5,x-1
P(x)=

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
One possible way is, substitute positive 1 for x, in P(x) and find if this evaluates to 0. You will still want the other factor or factors of P, so synthetic division may be helpful.