Synthetic Division and the Remainder and Factor Theorems

Question 1

What is Synthetic Division?

Answer 1

Dividing by first eliminating many steps of a long division problem.

Question 2

When can a Synthetic Division problem work?

Answer 2

When the divisor is in the form x+y or x-y.

Question 3

How do you do Synthetic Division?

Answer 3

You switch the sign of the number in the divisor and you grab the coefficients and constants and then simplify.

Question 4

What is the Remainder Theorem?

Answer 4

If a polynomial p(x) is divided by x-c, then its remainder is p(c).