Use the rational zeroes theorem to list all possible rational roots.

Question

Use the rational zeroes theorem to list all possible rational roots.

p(x)=x^4-5x^3+5x^2+5x-6

Answer 1

p(x)=x^4-5x^3+5x^2+5x-6

 

The possible rational roots are ± the roots of -6 ... the constant ...

over the roots of the coefficient of the variable of highest power .... 1

 

±{1, 2, 3, 6}/1 = {-1, 1, -2, 2, -3, 3, -6, 6}