SOLUTION: directions: determine if the binomial is a factor of the polynomial. 3x^3+5x^2+x+6 ; x-4 how do i go about solving this with these directions?

Algebra ->  Square-cubic-other-roots -> SOLUTION: directions: determine if the binomial is a factor of the polynomial. 3x^3+5x^2+x+6 ; x-4 how do i go about solving this with these directions?      Log On


   

Question 6925: directions: determine if the binomial is a factor of the polynomial.
3x^3+5x^2+x+6 ; x-4
how do i go about solving this with these directions?
Answer by glabow(165) About Me  (Show Source):
You can put this solution on YOUR website!
You check if one function is a factor of another by dividing it into the function. If you get a 0 remainder, it divides it evenly and is a factor. The value of x that makes the binomial 0 is a solution of the function.
3%5E3%2B5x%5E2%2Bx%2B6 divided by x-4 gives 3x%5E2-7x-27 and a remainder of -102%2F%28x-4%29.
However, x+2 divides the function evenly (try it!), so -2 is a root of the function.