6 3 Trinomial Squares Goals To recognize a

6. 3 Trinomial Squares • Goals: To recognize a trinomial square and be able to factor it • Remember to always factor out a common factor before you see if it is a trinomial square or not!!

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

Trinomial Squares x 2 + 6 x +9 4 x 2 – 20 x + 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, “ 2 AB” (or its negative)

Is 4 x 2 – 20 x + 25 a Trinomial Square? Yes!! 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, “ 2 AB” (or its negative)

Is x 2 + 8 x + 16 a Trinomial Square? Yes!! 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, “ 2 AB” (or its negative)

Is x 2 - 12 x + 4 a Trinomial Square? no 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, “ 2 AB” (or its negative)

Is 9 x 2 - 12 x + 16 a Trinomial Square? no 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, “ 2 AB” (or its negative)

Is 9 x 2 + 24 x - 16 a Trinomial Square? no 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, “ 2 AB” (or its negative)

Is 16 x 2 + 40 xy + 25 y 2 a Trinomial Square? yes 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, “ 2 AB” (or its negative)

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

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

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

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

Factor: x 2 - 8 x + 16 ( x - 4 )2 Check your answer using FOIL (x – 4)

Factor: 4 x 2 + 12 x + 9 (2 x + 3)2

Factor: 9 x 2 + 30 xy + 25 y 2 (3 x + 5 y)2

Factor: 2 x 2 + 12 x + 18 2(x 2 + 6 x + 9) 2(x + 3)2

Assignment: Page 271 4 -42 even