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Page 268, 33 - 52

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Factor: y 6 – 1 (y 3 + 1)(y 3 - 1)

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Factor completely: 32x 2 – 50y 2 2(16x 2 – 25y 2 ) 2(4x + 5y) (4x - 5y)

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Factor completely: 81x 4 – y 8 (9x 2 + y 4 ) (9x 2 – y 4 ) (9x 2 + y 4 )(3x + y 2 ) (3x – y 2 )

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Factor A, C, E, GB, D, F 1 x 2 - 49x 2 - 25 2 36x 2 - 416x 2 - 9 3 8x 2 - 1812x 2 - 3 4 81x 4 - 1x 4 - 81 5 16x 2 + 3636x 2 + 4

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Multiply: (x + 3) 2 x2x2 + 9+ 6x Multiply: (2x - 5) 2 4x 2 +25- 20x Trinomial Squares

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Trinomial Squares x 2 + 6x +9 4x 2 – 20x + 25 a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

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Is 4x 2 – 20x + 25 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) Yes!!

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Is x 2 + 8x + 16 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) Yes!!

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Is x 2 - 12x + 4 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) no

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Is 9x 2 - 12x + 16 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) no

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Is 9x 2 + 24x - 16 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) no

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Is 16x 2 + 40xy + 25y 2 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) yes

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To Factor Trinomial Squares: A 2 + 2AB + B 2 (A + B) 2 A 2 - 2AB + B 2 (A - B) 2 Factor: x 2 + 10x + 25 (x + 5) 2

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To Factor Trinomial Squares: A 2 + 2AB + B 2 (A + B) 2 A 2 - 2AB + B 2 (A - B) 2 Factor: x 2 - 8x + 16 (x - 4) 2

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To Factor Trinomial Squares: A 2 + 2AB + B 2 (A + B) 2 A 2 - 2AB + B 2 (A - B) 2 Factor: 4 x 2 + 12x + 9 (2x + 3) 2

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To Factor Trinomial Squares: A 2 + 2AB + B 2 (A + B) 2 A 2 - 2AB + B 2 (A - B) 2 Factor: 2x 2 + 12x + 18 2(x + 3) 2 2(x 2 + 6x + 9)

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Assignment: Page 272 1 – 37 odd, 39-54 by3’s, 60, 61

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Objective: To solve quadratic equations by completing the square.

Objective: To solve quadratic equations by completing the square.

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