The Remainder Theorem

Disclaimer: The material in the videos below comes mainly from outside City Tech. The presentation in these videos may differ from the one given in your class. Please consult with your instructor to confirm whether a particular approach is acceptable in your class.

1. $⊳$ Intro to the polynomial remainder theorem (6:42) Find the remainder of the division of $3x^2-4x+7$ by $x-1$ using both the long division and the remainder theorem.
2. $⊳$ Finding the remainder (3:31) Find the remainder of the division of $-3x^3-4x^2+10x-7$ by $x-2$ using the remainder theorem.
3. $⊳$ Checking factors (3:25) Is $x-3$ a factor of $2x^4-11x^3+15x^2+4x-12$?
4. *  Practice: Type of problem: What is the remainder $R$ when the polynomial $p(x)=3x^3-10x^2+5x-12$ is divided by $x+4$? Is $x+4$ a factor of $p(x)$?