Multiply and divide decimals by powers of ten

What you'll learn

• Identify all potential rational roots of a polynomial equation with integer coefficients using the Rational Root Theorem, and express these roots as a list with no omissions.
• Apply synthetic division to test potential rational roots of a polynomial equation and determine if they are actual roots, demonstrating proficiency by correctly identifying at least 80% of given roots.
• Solve polynomial equations of degree three or higher with integer coefficients by utilizing the Rational Root Theorem, synthetic division, and factoring techniques to find all rational and irrational roots, expressing solutions in simplified form with at least 75% accuracy.
• Explain the relationship between the Rational Root Theorem and the Factor Theorem, and justify how these theorems can be used in conjunction to factor polynomials and find their roots with clear and concise reasoning.