1. Tomorrow:
1. Factoring ax2 + bx + c Trinomials
2. Factoring Difference of Squares
Today:
1. Khan Topics & Test Date
2. Warm-Up
3. Factoring Perfect Square Trinomials
2. Factoring Difference of Squares
25th
2. Khan Academy Topics:
Due March 30 (Alt. due March 31)
1. Factoring Difference of squares 3
2. Factoring Polynomials with 2 variables
3. Factoring Quadratics 2
Factoring Test: Friday, March 28
Only the following methods will be covered
for this test:
1. GCF 2. Factor by Grouping
3. Factor x2
+ bx + c Trinomials
4. Perfect Square Trinomials
3. Khan Academy Topics for this week:
Warm-Up Section of Notebook:
Thursday: Factoring Quadratics 2
4. Warm-Up: Factoring Practice(8)
3. 4x³ - 4x
7. (2x-1)(x-2)
1. (x+9)(x-8) 2. 36x² - 25 2. (6x - 5)(6x + 5)
3. 4x(x+1)(x-1) 4. 21x³ + 28x²y²
7. 2x² - 5x + 4
1. x² + x - 72
4. 7x²y(3x+4y)
Factor each expression completely:
5. (x + 4)² 5. (x² + 8x + 16)
The polynomial in # 2 is called a ______ polynomial
The polynomial in # 5 is called a ______ polynomial
6. (3a – 2b)²
The polynomial in # 6 is called a ______ polynomial
6. (9a² – 12ab - 4b²)
Class Notes Section of your Notebook:
8. x² - 9x + 12 Prime
5. Factoring Perfect Square Trinomials
Let's look at #'s 5 & 6 from the warm – up: 5. (x + 4)²
When multiplied, we find that (x + 4) (x + 4)
are factors of (x² + 8x + 16). This type of polynomial
is known as a Perfect Square Trinomial
1. PST's have a square in the first & third terms
2. The factors of PST's are always either the square
of a sum (x + y)², or the square of a difference (x + y)²
3. We arrive at the trinomial by performing a "
square, double, square" on the factor. To factor
then, we do the opposite, which is a sq. root, halve,
sq. root. to arrive at the factors.
6. FACTORING PERFECT SQUARE TRINOMIALS
x2 + 4x + 4
sq. root(x) + half (2) + sq. root(2)
(3x - 4)2
(x + 2)2
Is this a perfect square trinomial?
sq. root (3x) + half (12) + sq. root(4)
Always be aware of possible
perfect square trinomials
(9x2 -24x + 16
7. 1) Factor out the GCF first
2) Look for a difference of squares
3) Look for a perfect square trinomial
4) Look for a pair of binomial factors
5) If a polynomial has 4 or more terms, look for a way
to factor by grouping
6) Make sure you can’t factor any further
7) Check your work!
GUIDE TO FACTORING COMPLETELY
2 2
( )( )a b a b a b
2 2 2
2 ( ) ora ab b a b
2 2 2
2 ( )a ab b a b
