Warmups – factor. 1) 2xy 3 – 6x 2 y 2) x 2 – 12x ) 4y y ) 4ax – 6bx + 6ay – 9by

10-5 Perfect Square Trinomials Objective: To identify and factor perfect square trinomials. Standard 11.0

Remember… So….

Recognizing a Perfect Square Trinomial 4x xy + 81y 2 1 st term is a perfect square 3 rd term is a perfect square (and positive) 2 nd = 2√1 st √3 rd, can be positive or negative Then… Example x 2 – 12x + 36 (x – 6) 2

TOO: IS IT A PERFECT SQUARE TRINOMIAL? 1) x 2 + 8x ) x 2 + 6x – 9 3) x 2 + 5x ) x x ) 4x 2 – 20x ) x 2 + 8x ) 49 – 14y + y 2 8) 2x 2 + 8x ) x 2 – 2x – 3 10) x 2 – 2x + 1 1) YES 2) NO-9 3) NOx25 ≠ 5x 4) YES 5) YES 6) NO √12 7) YES 8) NO2(x 2 + 4x + 8) 9) NO √-3 10) YES

FACTOR practice time.

Completing the Square Take half of the middle term and square it to get the third term! TOO:

TOO FOR HOMEWORK factor the perfect square trinomials 1) x 2 – 18x ) 9x xy + 16y 2 3) x + x 2 4) 4x 2 + 4x + 1 5) x 2 – 14x + 49

Homework Perfect Square Trinomials Worksheet