1. Module 7.15 Quanyka’s Quilts

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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)

8. 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
= 14
There are 2 inches on this side
𝐴 𝑥 = 𝑥 2 +14𝑥+24
𝐴 𝑥 =(𝑥+12)(𝑥+2)