SOLUTION: se the rational root theorem and the factor theorem to help solve the equation. Be sure that the number of solutions for the equation agrees with the property below, taking into ac

Algebra ->  College  -> Linear Algebra -> SOLUTION: se the rational root theorem and the factor theorem to help solve the equation. Be sure that the number of solutions for the equation agrees with the property below, taking into ac      Log On


   

Question 852825: se the rational root theorem and the factor theorem to help solve the equation. Be sure that the number of solutions for the equation agrees with the property below, taking into account multiplicity of solutions. (Objectives 1, 2)
A polynomial equation of degree n has n solutions, and any solution of multiplicity p is counted p times.
10x^3 − 7x^2 − 37x − 20 = 0
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
More like Rational Roots Theorem. If you were interested in helping to sketch the graph, the Remainder Theorem might be useful.

Try checking for roots plus-and-minus 1,2,4,5,10,20. Expect up to three roots to be found.

Synthetic division will show x=-1 is a root, and leaving 10x%5E2-17x%2B20=0. The only real and rational root is x=-1. The other two roots are x=%2817-i%2Asqrt%28511%29%29%2F200 and x=%2817%2Bi%2Asqrt%28511%29%29%2F200.