Download - Factor and Solve Polynomial Equations 2.3 (GREEN book) Polynomial Review WS: due TOMORROW
Factor and Solve Polynomial Equations
2.3 (GREEN book)
Polynomial Review WS: due TOMORROW
Vocabulary
A factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients.
Vocabulary
To factor the sum of two cubes, use the pattern:
a3 + b3 = (a + b)(a2 – ab + b2)
To factor the difference of two cubes, use the pattern:
a3 – b3 = (a – b)(a2 + ab + b2)
Vocabulary
For some polynomials you can factor by grouping pairs of terms that have a common monomial factor.
Example 1:
Factor the polynomial completely
1. 4x4 – 108x
2. 2b3 + 16a3
Example 2:
Factor the polynomial x3 + 2x2 – x – 2 completely.
We need to factor
by grouping
Example 3:
Factor completely:
1. 3x8 + 18x5 + 24x2
2. 81g4 - 256
Example 4:
Find the real-number solutions of the equation x4 – 7x2 = -12
To Solve: write in
standard form and
then factor
Example 5.
The dimensions (in inches) of a jewelry box are: length 4x, width (x – 1), and height (x – 2). If the volume of the box is 24 cubic inches, find the dimensions of the box.
Homework:
P. 78 #1-25odd
Fix/Complete Polynomials Review WS (due tomorrow)