1. March 15, 2013

2. Review: Factoring by GCF
1. Find the GCF for 30x3 + 5x2 - 25x ; then simplify
A: Factor the coefficients. What is the GCF for 30, 5, & 25?
B: Divide each term by the GCF to complete the problem.
**Note: Most simplifying can be done through mental math.
What you are doing is dividing a monomial by a monomial.
30x3 + 5x2 - 25x
= 5x(6x2 + x - 5)
5x 5x 5x

3. Special Case Binomials :
Square of Sums:
1. (x + 1) 2
2. (3x + 1)2
All +, + perfect square trinomials factor into square of
sum binomials.
The product of a Square of a Sum binomial (a + b)2 is:
a2 + 2ab + b2

4. Special Case Binomials :
Square of a Difference:
1. (x - 4) 2
2. (3x - 1)2
All -, + perfect square trinomials factor into square of
difference binomials.
The product of a Square of a difference binomial
(a - b)2 is:
a2 - 2ab + b2

5. DifferenceCase Two Squares
Special of Binomials :
Product of a Sum and a Difference:
Another shortcut for factoring a trinomial is when
we want to factor the difference of two squares.
1. (6x - 5)(6x + 5)
a2 – b2 = (a + b)(a – b)
2. (m - 10)(m + 10)
A binomial is the difference of two squares if:
The product of a Sum and a difference is:
1.Both terms are squares and
a2 - b2
2.The signs of the terms are of squares
which is: The difference different.
9x2 – 25y2 or:
of difference of squares:(a2 - b2)
The factored form 4 a 4
–c +d
is: The product of a sum and a difference

6. Warm Up:
2. Find the length & width:
1st, 3rd, 4th Periods
2nd p.

7. Test Review:

8. Reminders: