SOLUTION: q(x) = x4 – 10x2 + 9 8.5 When I asked my teacher. She said to factor, try substituting y = x2 to create q(y); substitute back in so you have q(x) again, and then keep factoring—yo

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: q(x) = x4 – 10x2 + 9 8.5 When I asked my teacher. She said to factor, try substituting y = x2 to create q(y); substitute back in so you have q(x) again, and then keep factoring—yo      Log On


   



Question 336734: q(x) = x4 – 10x2 + 9 8.5 When I asked my teacher. She said to factor, try substituting y = x2 to create q(y); substitute back in so you have q(x) again, and then keep factoring—you should have four factors when done. I have to solve then graph. Thanks for your help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
q%28x%29=x%5E4-10x%5E2+%2B+9=0
q%28y%29=y%5E2-10y%2B9=0
q%28y%29=%28y-1%29%28y-9%29=0
You can then substitute back,
q%28x%29=%28x%5E2-1%29%28x%5E2-9%29=0
Use the zero product property to find the 4 solutions in x.
.
.
.
graph%28300%2C300%2C-4%2C4%2C-40%2C40%2Cx%5E4-10x%5E2%2B9%29