SOLUTION: find the values of p and q respectively if (x-2) and (x+1) are both factors of px^3+3x^2-9x+q

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the values of p and q respectively if (x-2) and (x+1) are both factors of px^3+3x^2-9x+q      Log On


   

Question 1117208: find the values of p and q respectively if (x-2) and (x+1) are both factors of px^3+3x^2-9x+q
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The two zeros or roots are -1, and +2.

system%28-p%2B3%2B9%2Bq=0%2C8p%2B12-18%2Bq=0%29

system%28-p%2Bq=-12%2C8p%2Bq=18-12%29

system%28p-q=12%2C8p%2Bq=6%29, simplified linear system
-
9p=18
highlight%28p=2%29

q=p-12
q=2-12
highlight%28q=-10%29