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The Remainder Theorem, Factor Theorem, and rational roots — Homework

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The Remainder Theorem, Factor Theorem, and rational roots — Homework

Build your candidate list first, then test with synthetic division before factoring completely.

  1. 1.Use the Remainder Theorem to find R(1) for R(x)=x^3+2x^2-5x-6 (synthetic division by x-1).
  2. 2.Is x=-1 a root of R(x)=x^3+2x^2-5x-6? Use the Remainder Theorem.
  3. 3.List the possible rational roots of R(x)=x^3+2x^2-5x-6 using the Rational Root Theorem.
  4. 4.Find the complete factorization of R(x)=x^3+2x^2-5x-6, given that x=-1 is a root.
  5. 5.Why does the Rational Root Theorem only give a LIST of candidates rather than guaranteeing every value on the list is an actual root?
🌲 Homeschool of the FutureEleventh Grade · Math · week 16 homework