page 268, 33 - 52 factor: y 6 – 1 (y 3 + 1)(y 3 - 1)
TRANSCRIPT
Page 268, 33 - 52
2 22 4 49x y
2 23 9 16y y
Page 268, 33 - 52
Page 268, 33 - 52 2 225 25m m
2 24 4y y
Page 268, 33 - 52
4 2 4 2bb a a
Page 268, 33 - 52
Factor:
y6 – 1
(y3 + 1)(y3 - 1)
Factor completely:32x2 – 50y2
2(16x2 – 25y2)
2(4x + 5y) (4x - 5y)
Factor completely:81x4 – y8
(9x2 + y4) (9x2 – y4)
(9x2 + y4) (3x + y2) (3x – y2)
Factor A, C, E, G B, D, F
1 x2 - 49 x2 - 25
2 36x2 - 4 16x2 - 9
3 8x2 - 18 12x2 - 3
4 81x4 - 1 x4 - 81
516x2 + 36 36x2 + 4
7 7x x 5 5x x
4 3 1 3 1x x 4 3 4 3x x
2 2 3 2 3x x 3 2 1 2 1x x
29 1 3 1 3 1x x x 2 9 3 3x x x
24 4 9x 24 9 1x
Multiply: (x + 3)2
x2 + 9+ 6x
Multiply: (2x - 5)2
4x2 +25
- 20x
Trinomial SquaresTrinomial Squares
Trinomial Squaresx2 + 6x +9
4x2 – 20x + 25
a. Two of the terms must be squares (A2 and B2)
b. No minus sign before A2 and B2
c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Is 4x2 – 20x + 25 a Trinomial Square?
a. Two of the terms must be squares (A2 and B2)
b. No minus sign before A2 and B2
c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Yes!!
Is x2 + 8x + 16 a Trinomial Square?
a. Two of the terms must be squares (A2 and B2)
b. No minus sign before A2 and B2
c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
Yes!!
Is x2 - 12x + 4 a Trinomial Square?
a. Two of the terms must be squares (A2 and B2)
b. No minus sign before A2 and B2
c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
no
Is 9x2 - 12x + 16 a Trinomial Square?
a. Two of the terms must be squares (A2 and B2)
b. No minus sign before A2 and B2
c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
no
Is 9x2 + 24x - 16 a Trinomial Square?
a. Two of the terms must be squares (A2 and B2)
b. No minus sign before A2 and B2
c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
no
Is 16x2 + 40xy + 25y2 a Trinomial Square?
a. Two of the terms must be squares (A2 and B2)
b. No minus sign before A2 and B2
c. If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)
yes
To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2
•A2 - 2AB + B2 (A - B)2
Factor: x2 + 10x + 25
(x + 5)2
To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2
•A2 - 2AB + B2 (A - B)2
Factor: x2 - 8x + 16
(x - 4)2
To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2
•A2 - 2AB + B2 (A - B)2
Factor: 4x2 + 12x + 9
(2x + 3)2
To Factor Trinomial Squares:•A2 + 2AB + B2 (A + B)2
•A2 - 2AB + B2 (A - B)2
Factor: 2x2 + 12x + 18
2(x + 3)2
2(x2 + 6x + 9)
Assignment:Page 272
1 – 37 odd,39-54 by3’s,
60, 61