SOLUTION: Use the rational rooots theorem to list all possible rational roots for each equation. Then find any actual rational roots. The equation is; 2X cubed minus 5X squared plus X minus

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the rational rooots theorem to list all possible rational roots for each equation. Then find any actual rational roots. The equation is; 2X cubed minus 5X squared plus X minus       Log On


   

Question 996090: Use the rational rooots theorem to list all possible rational roots for each equation. Then find any actual rational roots. The equation is; 2X cubed minus 5X squared plus X minus 7
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E3-5x%5E2%2Bx-7 using lower case instead of upper case. The possible roots to check are -7, -1, -7/2, -1/2, 7, 1, 7/2, 1/2.

The synthetic division will be less comfortable with some of them than with others to check. Do the easier ones first. Also know that once you find one root, you can find the other two using either factoring or formula for solution to quadratic equation.

I have not done the root-checking although you did ask for it.