Module 7.15 Quanyka’s Quilts

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Presentation transcript:

Module 7.15 Quanyka’s Quilts

𝐴 𝑥 =(𝑥+5)(𝑥+2) 𝐴 𝑥 = 𝑥 2 +7𝑥+10 Add 5 inches on this side Original Quilt 𝑥 2 Add 5 inches on this side “Fill in the quilt” Add 2 inches on this side 𝐴 𝑥 = 𝑥 2 +7𝑥+10

𝐴 𝑥 =(𝑥+2)(𝑥+4) 𝐴 𝑥 = 𝑥 2 +6𝑥+8 Add 2 inches on this side Original Quilt 𝑥 2 Add 2 inches on this side “Fill in the quilt” Add 4 inches on this side 𝐴 𝑥 = 𝑥 2 +6𝑥+8

𝐴 𝑥 =𝑥(𝑥+3) 𝐴 𝑥 = 𝑥 2 +3𝑥 Add nothing to this side Original Quilt 𝑥 2 Add nothing to this side Nothing to “fill in” Add 3 inches on this side 𝐴 𝑥 = 𝑥 2 +3𝑥

𝐴 𝑥 =(𝑥+6)(𝑥+6) 𝐴 𝑥 = 𝑥 2 +12𝑥+36 Add 6 inches to this side Original Quilt 𝑥 2 Add 6 inches to this side “Fill in the quilt” Add 6 inches on this side 𝐴 𝑥 = 𝑥 2 +12𝑥+36

𝐴 𝑥 =(𝑥+2)(𝑥+7) 𝐴 𝑥 = 𝑥 2 +9𝑥+14 Add 2 inches to this side Original Quilt 𝑥 2 Add 2 inches to this side “Fill in the quilt” Add 7 inches on this side 𝐴 𝑥 = 𝑥 2 +9𝑥+14

Notice that this quilt had extensions of 3 inches and 6 inches… 𝐴 𝑥 = 𝑥 2 +3𝑥+6𝑥+18 There are 3 inches on this side Original Quilt 𝑥 2 Notice that this quilt had extensions of 3 inches and 6 inches… 3 x 6 = 18 3 + 6 = 9 There are 6 inches on this side 𝐴 𝑥 = 𝑥 2 +9𝑥+18 𝐴 𝑥 =(𝑥+3)(𝑥+6)

𝐴 𝑥 = 𝑥 2 +12𝑥+2𝑥+24 𝐴 𝑥 = 𝑥 2 +14𝑥+24 𝐴 𝑥 =(𝑥+12)(𝑥+2) There are 12 inches on this side Original Quilt 𝑥 2 Notice again… 12 x 2 = 24 12 + 2 = 14 There are 2 inches on this side 𝐴 𝑥 = 𝑥 2 +14𝑥+24 𝐴 𝑥 =(𝑥+12)(𝑥+2)