Question 1037027: Using synthetic subtraction,
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) (Show Source): You can put this solution on YOUR website! Using synthetic subtraction,
Write the polynomial equation of degree 4 with leading
coefficient 1
that has roots at 2, 1, 3, and 4.
I don't know what "synthetic subtraction" means. But here's
the normal way people do your problem.
x=2; x=1; x=3; x=4;
x-2=0; x-1=0 x-3=0 x-4=0
(x-2)(x-1)(x-3)(x-4) = 0
Multiply that all the way out and get
x4-10x3+35x2-50x+24 = 0
Edwin