Multiply.
1) (x2 – 4)(x + 3)
2) (2x – 5y)(x + 2y)
3) (3p – 2q)2
4) (x + 2)(x – 2)(x – 3)
Objective: Students will be able to
demonstrate their understanding of
factoring special cases by 1) correctly
solving at least 6 of the 10 “you try”
problems, 2) scoring at least a 2 on
their exit slip, and 3) writing a letter to
a sick classmate.
Standard 11.0 Students apply basic
factoring techniques to second- and simple
third-degree polynomials. These
techniques include finding a common
factor for all terms in a polynomial,
recognizing the difference of two squares,
and recognizing perfect squares of
binomials.
VOCABULARY/RULES
1. Perfect square – the product of a number and itself. Ex:
225 is a perfect square because it is the product of 15 ×
15.
2. Perfect Square Trinomial – a trinomial which when
factored has the form: (a + b)2 = (a + b)(a + b) or (a – b)2 =
(a – b)(a – b).
a)
Is the first term a perfect square?
b)
Is the last term a perfect square?
c)
Is the middle term twice the product of the first and
last term?
3. Difference of Squares – two perfect squares separated
by a subtraction sign. a2 – b2 = (a +b)(a – b)
*
Example 1
Factor
x2 + 10x + 25
*
Example 2
Factor
x2 – 25
*
You try
Factor
1. 4x2 - 4x + 1
2. 4x2 – 12x + 36
3. x2 + 2x + 1
4. 16x2 + 20x + 25
5. 49x2 – 14x + 1
6. 4x2 + 49
Subtracting
7. x2 + 100
8. x2 – 16
9. 121 – x2
10. 25x2 – 100
Polynomials
*
Exit Slip
Factor
1. x2 - 9
2. 25x2 + 20x + 4
1. x2 - 6x + 9
Subtracting Polynomials
2. 9x2 - 225
*
Letter to sick classmate
Olivia is sick with flu but does not want to fall
behind on today’s lecture.
Task: Write Olivia a letter and explain how to
factor the following problems:
4x2 – 49 and 9x2 - 12x + 4. Provide her with all
the information to be successful on her
homework. (YOU MAY NOT USE YOUR NOTES
OR TALK TO YOUR PARTNER!)