Educator

Remainder and Factor Theorems

• Use synthetic substitution to evaluate a polynomial of degree 4 or more for a specific value.

• Use synthetic division to find the factors of a polynomial of degree 3 or more. Guess and then check your guess by synthetic division. Once you find one factor, use synthetic division to find a factor of the quotient. Keep going until the quotient is quadratic. At this point, use the quadratic formula to factor the quadratic.