1. Algebra 2
6.4 Factoring and Solving Polynomial Equations
Review from Chapter 5: Factor the following quadratic equations.
a) 2x 2 − 5 ξ − 12
b) x 2 + 10 ξ + 25
c) 4x 2 − 9
d) 6x 2 + 15 ξ
Factoring Polynomials
Sum of two cubes: _____________________________________________________
Difference of two cubes: ________________________________________________
It would be good to get familiar with perfect cubes, like 23=8, 33=27, 43=…
EX1: Factor each polynomial.
a) x 3 + 27 b) 16x 5 − 250 ξ2
Factor by Grouping
____________________ terms that have a common factor.
EX2: x 3 − 2 ξ2 − 9 ξ + 18
EX3: x 2 y 2 − 3ξ2 − 4 ψ + 12
2

2. Factoring Polys in Quadratic Form
An expression in the form _________________________ is in quadratic form.
However, u might be more than just a single ________________________.
It’s kind of like having an _____________________ within an expression.
EX4: Factor each polynomial.
a) 81x 4 − 16
b) 4x 6 − 20 ξ4 + 24 ξ2
HW p. 348 (28 – 66 even)