SOLUTION: If (x-2)^2 is a factor of x^3+px+q, find the value of p and q. Please help..

Question 824812: If (x-2)^2 is a factor of x^3+px+q, find the value of p and q. Please help..
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let be the other zero of the polynomial .

Since the polynomials above have the same value for all values of ,
the coefficients of all terms must be the same:
for the term in ,
for the term in ,
for the term in , and
for the independent term.

Solving for :

Then,

and

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