Download Algebra I Quiz 1

Intermediate Algebra II Section 5-4 (3 days/1 sheet) Template
I.
Objective: To divide polynomials using long & synthetic division.
II. Teacher activities:
A. Compare polynomial division to long division:
658 ÷ 31
(6 x2  5x  8)  (3x  1)
Rules for dividing polynomials by binomials:
1) Check for standard form
2) Check for missing terms – replace w/ 0 as the coefficient
3) Divide as if numbers
4) Place like terms over reach other
5) Write remainder over divisor & add to quotient
Use Polynomial long division. Is x – 1 a factor of 6 x 2  11x  5 ?
6 x 2  11x  5
Ex 1
x 1
Day 2: Synthetic Division – an efficient way to divide a polynomial by a
linear binomial in the form x – a
1. Check for standard form & missing terms
2. Write the coefficients with a in front (opposite of constant of divisor)
3. Bring lead coefficient down then multiply & add
Ex 2 Use synthetic division (2 x3  10 x2  9 x  15)  ( x  3)
x3  1
Ex 3 Use synthetic division
x 1
Day 3: Remainder Theorem – If P(x) is divided by x – a, P(a) is the remainder.
Ex 4 Use synthetic division/ Substitution & the Remainder Theorem to find
P(a).
P( x)  x5  2 x3  x2  2, a  3
III.
Assignment: Day 1, p321: 5-15odd
Day 2, p325: 7-15all
Day 3: p325: 16-29all, omit 20
Review packet over 5.1-5.4