5.3 Dividing Polynomials

Date_________________ NOTES - Section 5.3 Dividing Polynomials ***Using Long Division and Synthetic Division**** DIVIDING A POLYNOMIAL BY A MONOMIAL EX1. Simplify

ST1. Simplify

4 x y + 8 xy −12 x y 4 xy 3

2

2

2

5a 2 b −15 ab 3 + 10 a 3 b 4 5ab

3

LONG DIVISION EX2.

ST2.

( z 2 + 2 z − 24 ) ÷ ( z − 4)

( z 2 − 2 z −15 ) ÷ ( z − 5)

EX 3 ( z 2 − 3 z − 7 ) ÷ ( z + 2)

SYNTHETIC DIVISION (Only works for divisors in the form x-k) **Write 0 for any missing term**

EX 4

ST4.

( z 2 + 2 z − 24 ) ÷ ( z − 4)

(5 z 3 −13 z 2 +10 z − 8) ÷ ( z − 2)

EX 5

ST 5.

(8 z 4 − 4 z 2 + z + 4) ÷ ( 2 z + 1)

( 4 z 4 − 5 z 2 + 2 z + 4) ÷ ( 2 z −1)

______________________________________________________________________________ HOMEWORK Honors P. 236 (16-50) EVENS Regular P. 192 (16-24)(40,42,44) _________________________________________________________________________________