1. March
7
Today:
Perfect Square Trinomials
Class Work

2. Factoring Polynomials:
So far, we have factored binomials, such as: (8x2 + 2x3)
2x2(4 + x)
Trinomials, such as: x2 + 7x + 12
(x + 4) (x + 3)
And the difference of squares: x4 - 16
(x2 - 4) (x2 + 4)
Lastly, we look at factoring perfect square trinomials
such as: x2 + 10x + 25

3. Perfect Square Trinomials :
x2 + 10x + 25
A. What is a perfect square trinomial?
1. The first term is a perfect square
2. The third term is a perfect square
3. Multiply the square root of the 1st term coefficient
by the square root of the 3rd term coefficient. The 2nd
term should be twice this amount.
1 x 5 = 5; 2 x 5 = 10, the 2nd term coefficient.

4. Perfect Square Trinomials :
x2 + 10x + 25
B. How to factor a perfect square trinomial?
1. x2 + 10x + 25:
(x + 5) (x + 5); = (x + 5)2
2. x2 - 12x + 36
(x - 6) (x - 6); = (x - 6)2

5. Perfect Square Trinomials :
State whether the following are perfect square trinomials:
1. x2 - 16x + 64 2. x3 + 10x + 25
3. x2 - 10x - 25 4. 16x2 - 56x + 49
5. 1 + 6x + 9x2
Factor the following perfect square trinomials:
1. x2 + 2xy + y2 2. x2 - 2xy + y2
3. x2 - 16x + 64 4. 25x2 + 20xy + 4y2
1. (x + y)2 2. (x - y) 2 3. (x - 8) 2 4. (5x + 2y)2