Unit 5 Factor Special Products Section 2.8

Factor using GCF. 1) 3x3 + 6x2 + 9x 2) x3 + 5x

Special Products… Difference of Two Squares (D.O.T.S) a2 – b2 = (a + b)(a – b) Perfect Square Trinomial Pattern a2 + 2ab + b2 = (a + b)2 a2 – 2ab + b2 = (a – b)2

Factor: DOTS (difference of two squares) z2 – 81 6) 2x2 – 18 7) y2 – 49 8) 4r2 - 400

MORE DOTS…. 9) x2 – 100 10) 49y2 – 25 11) c2 – 9d2 12) 45 – 80m2

Factor Perfect Square Trinomials x2 – 10x + 25 14) y2 – 12y + 36 15) x2 + 14x + 49 16) t2 – 22t + 121

Solve DOTS and PS Solve by factoring. 17) x2 – 12x + 36 = 0 18) 3z2 – 27 = 0 19) 6x2 + 24x = -24 20) 4r2 = 100

Ticket Out the Door Factor. 1) x2 – 64 2) b2 – 81 3) x2 – 12x + 36 4) y2 + 22x + 121

Worksheet on DOTS and PERFECT SQUARE TRINOMIALS Homework Worksheet on DOTS and PERFECT SQUARE TRINOMIALS