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?

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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)   (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.
divided by gives and a remainder of .
However, x+2 divides the function evenly (try it!), so -2 is a root of the function.

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