Question

x^3-x^2-20x-288=0
using the Fundamental Theorem of Algebra, the Rational Root Theorem, Descartes' Rule of Signs, and the Factor Theorem?

Answer 1

The factors of 288 are +-1, +-2, +-3,+-4, +-6, +-8, +-9,+-16, +-18, +-24, +-48, +-144,+-288

Answer 2

I may have missed some. Those are the possible rational roots. Use synthetic division to find if any are actually roots.

Answer 3

Hint: try 8

Answer 4

Also there is one sign sign change so according to Descartes, there is one positive real root.

Answer 5

wow tthank you so much!!