1. 3.2 Division of Polynomials

2. Remember this?

5. Synthetic Division 1. The divisor must be a binomial. 2. The divisor must be linear (degree = 1) 3. The leading coefficient must be 1.

6. 1.Determine the value of r 2.Arrange polynomial in descending order of degree 3.Place “0”in the position of any missing terms 4.Write the coefficients in order including the 0’s 5.Use multiplication and addition to manipulate the coefficients of the quotient 6.Write the quotient using the coefficients and the variables; beginning with a degree less than the dividend Synthetic Division Steps

8. EX 3

9. Remainder Theorem If P(x) is divided by x – c, then the remainder is the value P(c). Divide and then check your answer using the remainder theorem.

10. Factor Theorem: If ‘c’ is a zero then x-c is a factor of P(x). Let P(x) = x 3 + 21x 2 -157x + 135. Show that P(1) = 0 and then use this to factor P(x) completely. Factors:

11. Given that the zeros of a polynomial are 1, 3, and 4, write the third degree polynomial.

12. Homework Pg 271 #13-65 EVERY OTHER ODD