How do you use the rational roots theorem to find all possible zeros of x45x35x2+23x+10?

2 Answers
Mar 19, 2016

enter image source here

Explanation:

enter image source here

Mar 19, 2016

2,5,1±2

Explanation:

By the rational root theorem the rational roots of the polynom can be:

±1,±2or±5

If you try the roots, you will confirm that the real roots are -2 and 5:

Now you have to divide the polynom by :

(x+2)(x5)=x23x10


x45x35x2+23x+10x23x10=

x22x1

Use the quadratic formula to solve this part:

x=2±4+42=2±82=2±222

x=1±2