Transcript is it a perfect square trinomial?

Warmups – factor.
1) 2xy3 – 6x2y
2) x2 – 12x + 36
3) 4y2 + 36y + 81
4) 4ax – 6bx + 6ay – 9by
10-5 Perfect Square
Trinomials
Objective: To identify and factor
perfect square trinomials.
Standard 11.0
Remember…
(a  b)  a  2ab  b
2
2
So….
a  2ab  b  (a  b)
2
2
2
2
Recognizing a
Perfect Square Trinomial
4x2 + 36xy + 81y2
1st term is a perfect square  (2x)
2
 3rd term is a perfect square (and positive)  (9 y)
 2nd = 2•√1st •√3rd , can be positive or negative
2
 2(2 x)(9 y)
(2
x

9
y
)
 Then…
Example
x2 – 12x + 36
(x – 6)2

2
TOO: IS IT A PERFECT
SQUARE TRINOMIAL?
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
x2 + 8x + 16
x2 + 6x – 9
x2 + 5x + 25
x2 + 10x + 25
4x2 – 20x + 25
x2 + 8x + 12
49 – 14y + y2
2x2 + 8x + 16
x2 – 2x – 3
x2 – 2x + 1
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
YES
NO
NO
YES
YES
NO
YES
NO
NO
YES
-9
x•2•5 ≠ 5x
√12
2(x2 + 4x + 8)
√-3
FACTOR practice time.
r 2  8r  16
(r  4)2
49 p  28 p  4
(7 p  2)
4 y  12 yz  9z
(2 y  3z)2
2
2
2
2
4 x2  4 xy  y 2
(2 x  y)2
81n  180n  100
(9n 10)2
2
Completing the Square
9
x  6 x  __
c  24c
___  144
Take half of the middle term and
square it to get the third term!
2 c 12  24c
2
2
TOO:
a  2a  ___
a  ____  49b
16s  56s  ___
9k  ____  25
2
2
2
2
2
TOO FOR HOMEWORK
factor the perfect square trinomials
1)
x2 – 18x + 81
2)
9x2 + 24xy + 16y2
3)
100 + 20x + x2
4)
4x2 + 4x + 1
5)
x2 – 14x + 49
Homework

Perfect Square Trinomials Worksheet