1. Polynomial Puzzle Adding, Subtracting, & Multiplying Polynomials
Cut and rearrange the following tiles. Simplify the polynomials using the appropriate operation and match with its answer. Your final answer will also be a 4x4 array. Show your work on a separate sheet of paper.
2𝑥 3 +9 𝑥 2 +𝑥+17
−4 𝑥 3 +3 𝑥 2 −𝑥 −(2 𝑥 3 +4 𝑥 2 −7)
25𝑥 2 +20𝑥+4 −1
𝑥 3 −(1− 4𝑥 3 ) B A C 𝑥
(−4 𝑥 2 −2𝑥+5)+(𝑥−7 𝑥 2 −5) D
(5𝑥+9)(𝑥+1)
3𝑥(𝑥−11)
15𝑥 3 −7 𝑥 2
−3𝑥 3 −1
3 𝑥 2 −2 −4𝑥(𝑥−1)
(2𝑥−1) 3
𝑥 3 −9 𝑥 2 −82𝑥+720
(𝑥−1)(𝑥+2)(𝑥−3)
− 𝑥 2 − 𝑥 4 −(1− 𝑥 2 − 𝑥 4 )
𝑥 4 + 𝑥 2 −2
𝑥 2 −1 +( 𝑥 2 +2)
𝑥−1 18 E F
5 𝑥 2 (10𝑥−12) G
8𝑥 3 −1
25𝑥 3 −125 H
𝑥+1 + 2𝑥+3 +(4𝑥+5)
𝑥−1 − 𝑥+2 −(𝑥−3)
𝑥 3 −1 −( 𝑥 3 +1)
(9𝑥−7)(𝑥−2) 2
5 𝑥 2 +14𝑥+9
3 𝑥 3 +8 𝑥 2 −
(5 𝑥 3 +17)
(2 𝑥 2 −6𝑥+5)+(7 𝑥 2 −𝑥−9)
2𝑥 4 +1
(5𝑥+2) 2
8𝑥 3 −12 𝑥 2 +6𝑥−1
9 𝑥 2 −7𝑥−4
(𝑥−10)(𝑥+9)(𝑥−8)
5 𝑥 3 −7 𝑥 2 −7𝑥+2 I
7𝑥+9
−2 𝑥 9 −2 𝑥 5 J
−11 𝑥 2 −𝑥 K L
3𝑥+6
5𝑥 3 −1
−2 𝑥 4 ( 𝑥 5 −𝑥) −𝑥
𝑥 3 −18 𝑥 2 +81𝑥
3 𝑥 3 +8 𝑥 2 −𝑥 −(5 𝑥 3 − 𝑥 2 +17)
7 𝑥 2 −9𝑥+4
−6 𝑥 3 − 𝑥 2 −𝑥+7
4 𝑥 2 +20𝑥+25
(5 𝑥 3 − 𝑥 2 +17)
8 𝑥 2 −𝑥 −
(2𝑥+5) 2
𝑥 3 −2 𝑥 2 −5𝑥+6
−2 𝑥 3 +9 𝑥 2 −𝑥−17 M N O P
9𝑥 3 −43 𝑥 2 +64𝑥−28
𝑥(𝑥−7) 2 −2
50𝑥 3 −60 𝑥 2
− 𝑥 2 +4𝑥−2
𝑥 2 −18𝑥+81
𝑥(𝑥−9) 2
3 𝑥 2 −33x
(𝑥−2)(5 𝑥 2 +3𝑥−1)
15𝑥 3 +7 𝑥 2
2𝑥 2 +1
( 𝑥 2 −1)( 𝑥 2 +2)

2. Polynomial Puzzle Adding, Subtracting, & Multiplying Polynomials
Cut and rearrange the following tiles. Simplify the polynomials using the appropriate operation and match with its answer. Your final answer will also be a 4x4 array. Show your work on a separate sheet of paper.
ANSWER 18
(5 𝑥 3 − 𝑥 2 +17)
8 𝑥 2 −𝑥 −
𝑥−1
2𝑥 3 +9 𝑥 2 +𝑥+17
25𝑥 3 −125 H
(9𝑥−7)(𝑥−2) 2 M G A 𝑥
9𝑥 3 −43 𝑥 2 +64𝑥−28 −2
(5𝑥+9)(𝑥+1)
𝑥 3 −1 −( 𝑥 3 +1)
5 𝑥 2 +14𝑥+9
(5𝑥+2) 2
(2 𝑥 2 −6𝑥+5)+(7 𝑥 2 −𝑥−9)
(𝑥−2)(5 𝑥 2 +3𝑥−1)
− 𝑥 2 − 𝑥 4 −(1− 𝑥 2 − 𝑥 4 )
25𝑥 2 +20𝑥+4
5 𝑥 3 −7 𝑥 2 −7𝑥+2
9 𝑥 2 −7𝑥−4 −1
𝑥 3 −(1− 4𝑥 3 ) C L J
5𝑥 3 −1
−2 𝑥 9 −2 𝑥 5
−11 𝑥 2 −𝑥
(−4 𝑥 2 −2𝑥+5)+(𝑥−7 𝑥 2 −5) D
15𝑥 3 −7 𝑥 2
−2 𝑥 4 ( 𝑥 5 −𝑥)
−3𝑥 3 −1
3 𝑥 3 +8 𝑥 2 −𝑥 −(5 𝑥 3 − 𝑥 2 +17)
𝑥 3 −9 𝑥 2 −82𝑥+720
−6 𝑥 3 − 𝑥 2 −𝑥+7
(𝑥−1)(𝑥+2)(𝑥−3)
(𝑥−10)(𝑥+9)(𝑥−8)
−2 𝑥 3 +9 𝑥 2 −𝑥+17
−4 𝑥 3 +3 𝑥 2 −𝑥 −(2 𝑥 3 +4 𝑥 2 −7)
𝑥 3 −2 𝑥 2 −5𝑥+6 K P B O
3𝑥+6
𝑥 3 −18 𝑥 2 +81𝑥
𝑥(𝑥−9) 2
3 𝑥 2 −33x
3𝑥(𝑥−11)
3 𝑥 2 −2 −4𝑥(𝑥−1)
− 𝑥 2 +4𝑥−2
𝑥 2 −18𝑥+81
4 𝑥 2 +20𝑥+25
( 𝑥 2 −1)( 𝑥 2 +2)
(2𝑥−1) 3
2𝑥 2 +1
(2𝑥+5) 2
𝑥 4 + 𝑥 2 −2
8𝑥 3 −12 𝑥 2 +6𝑥−1
𝑥 2 −1 +( 𝑥 2 +2) N E I F
𝑥(𝑥−7) 2
50𝑥 3 −60 𝑥 2
5 𝑥 2 (10𝑥−12)
𝑥+1 + 2𝑥+3 +(4𝑥+5)
7𝑥+9 −𝑥
𝑥−1 − 𝑥+2 −(𝑥−3)
8𝑥 3 −1
3 𝑥 3 +8 𝑥 2 −
(5 𝑥 3 +17)
15𝑥 3 +7 𝑥 2
2𝑥 4 +1
7 𝑥 2 −9𝑥+4