Transcript Factor and Solve Polynomial Equations

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:
1.
Factor the polynomial completely
4x4 – 108x
2.
2b3 + 16a3

Example 2:

Factor the polynomial x3 + 2x2 – x – 2
completely.
Example 3:
1.
Factor completely:
3x8 + 18x5 + 24x2
2.
81g4 - 256

Example 4:

Find the real-number solutions of the
equation x4 – 7x2 = -12
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)