SOLUTION: How do you use synthetic division to find which value of k will guarantee that the given binomial is a factor of the polynomial? Here is a problem x^3-kx^2-6x+8;x+2

Question 727283: How do you use synthetic division to find which value of k will guarantee that the given binomial is a factor of the polynomial? Here is a problem
x^3-kx^2-6x+8;x+2
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
You literally perform long division on the polynomials. Divide the by . Watch each step extremely carefully. In the last subtraction, if you did you algorithm correctly, you should have something equivalent to , and THIS MUST EQUAL ZERO, if the divisor, is to be a binomial factor of the dividend cubic polynomial. Set and find .
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