SOLUTION: write the polynomial equation of degree 4 with leading coefficient 1 that has roots at -2,-1,3, and 4.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: write the polynomial equation of degree 4 with leading coefficient 1 that has roots at -2,-1,3, and 4.      Log On


   

Question 886779: write the polynomial equation of degree 4 with leading coefficient 1 that has roots at -2,-1,3, and 4.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
          x=-2,   x=-1,   x=3,    x=4
        x+2=0,  x+1=0,  x-3=0,  x-4=0

f(x) =  (x+2)(x-1)(x-3)(x-4)

Multiply all that out and get

%22f%28x%29%22%22%22=%22%22x%5E4-6x%5E3%2B3x%5E2%2B26x-24

Edwin