SOLUTION: Graph the function using a graphing utility: 𝑓(𝑥) = 2𝑥^4 + 𝑥^3 − 11𝑥^2 − 5𝑥 + 5 Show the graph and identify the rationa

Algebra ->  Rational-functions -> SOLUTION: Graph the function using a graphing utility: 𝑓(𝑥) = 2𝑥^4 + 𝑥^3 − 11𝑥^2 − 5𝑥 + 5 Show the graph and identify the rationa      Log On


   



Question 1125327: Graph the function using a graphing utility: 𝑓(𝑥) = 2𝑥^4 + 𝑥^3 − 11𝑥^2 − 5𝑥 + 5
Show the graph and identify the rational zeros and then factor completely over the Reals.
Thank you!

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
zeros at -2.24, -1,0.5,2.24
factors are clearly (x+1)(2x-1). That is 2x^2+x-1
The other factors are +/- sqrt (5), so they would be from x^2-5
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E4%2Bx%5E3-11x%5E2-5x%2B5%29