Solving Polynomial Equations: Finding Solutions and Factoring

The video tutorial covers solving polynomial equations by finding solutions through factoring, substitution, and long division. It explains the remainder theorem and demonstrates how to find other solutions using these methods. The tutorial also explores advanced techniques for solving higher degree polynomials.

Explain how to factor the polynomial X^2 + 7X + 12.

How do you evaluate F of X = X^2 + 2X - 7 for X = 3 using substitution?

What does the Remainder Theorem state about polynomial P of X and a number a?

How can you verify that X = 5 is a solution of the polynomial equation X^2 - 3X - 10?

Describe the steps involved in performing long division on the polynomial X^2 - 3X - 10.

What is the process to find the other solution of the polynomial equation X^2 + 5X - 24 = 0 if one solution is X = 3?

What are the factors of the polynomial X^3 + 4X^2 - 15X - 18?