5.3 D IVIDING P OLYNOMIALS Algebra II w/ trig

I. Divide a Polynomial by a monomial: A. this expression means that each term in the numerator shares a common denominator

B. C.

II. Divide a polynomial by a polynomial, there are two ways ---long division --synthetic division A. Long Division 3248 ÷ 24 B. Two Relationships How would you check your answer?

C. Simplify 1.

2. 3.

4. 5.

D. Method II—Synthetic Division (a simpler process)—the divisor must be in the form of (x – r) 1. take the divisor and solve for x x + 1 = 0 write x = # and the coefficients of the dividend in decreasing powers of x

2.

3.