POLYNOMIAL JEOPARDY

3.1 & 3.2

10

What is the prime factorization of 3456?

2⁷*3³

20

What is the least common multiple of 25, 33, and 2?

1650

30

What is the square root of 1225? (Find using prime factors, must show work to receive points)

35

40

What is the greatest common factor of 84, 210, and 336?

42

50

A cube has a volume of 9261 cubic inches. What is the surface area of the cube? 

2646 in²

3.3 & 3.5

10

Factor 9b²-12b³

3b²(3-4b)

20

Factor x²+8x+12

(x+6)(x+2)

30

Factor -16-6x+x²

(2+x)(x-8)

40

Factor 9x⁴y²-6x³y³+12x²y⁴

3x²y²(3x²-2xy+4y²⁾

50

Factor -5x²+40x-35

-5(x-1)(x-7)

3.6

10

Factor 2x²+5x+2

(x+2)(2x+1)

20

Factor -2-7x+15x²

(3x-2)(5x+1)

30

Factor 24x²-2x-70

2(3x+5)(4x-7)

40

Factor 4x²+4x-15

(2x-3)(2x+5)

50

A student factored 15x²-65x+20 and got (x-4)(3x-1). What mistake did this student make?

The student did not include the 5 that they divided out in their final expression. 

3.7

10

Expand and simplify (x+1)(x²+2x+3)

x³+3x²+5x+3

20

Expand and simplify (2x+y)²

4x²+4xy+y²

30

Expand and simplify (2x-7y)(2x+7y)

4x²-49y²

40

Expand and simplify (4x-5)(3x+2)-(3x+2)(4x-5)

0

50

Expand and simplify (3x+y-3)(2x-5)-(4x-4y)

6x²-25x+2xy-y+15

3.8

10

Factor x²-12x+36

(b-6)²

20

Factor 24x²-72x+54

6(2x-3)²

30

Factor 36-x²

(6+x)(6-x)

40

Factor 8x²-32y²

8(x+2y)(x-2y)

50

Factor 4x²-12x+9

(2x-3)²