Math Jeopardy!

1

100

Name the 3 types of special binomials that involve squares and cubes

Difference of Squares

Difference of Cubes

Sum of Cubes

200

What is the correct expansion of (A³ - B³) ?

(A - B)(A² + AB + B²)

300

Factor by Grouping:

40xy + 30x - 100y -75

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

400

Write in Quadratic Form: 12x³ + 18x⁶ - 2

2(3x³)² + 4(3x³) - 2

2

100

What type of binomial is (x³ - 8) ?

Difference of Cubes

200

Factor: 64x³ + 1

(4x + 1)(16x² - 4x + 1)

300

Find the solutions of x³ - 9x = 8x²

x = -1, x = 0, x = 9

400

Factor by Grouping: 

150a²bx + 20ab²y - 120a²by - 25ab²x

5ab(5x - 4y)(6a - b)

3

100

What type of binomial is (x³ + 64) ?

Sum of Cubes

200

What is the correct expansion of (A² - B²) ?

(A + B)(A - B)

300

Factor by Grouping: 

224mz + 56mc - 84nz - 21nc

7(8m - 3n)(4z + c)

400

Factor completely: x⁴ - 625

(x² + 25)(x + 5)(x - 5)

4

100

What does SOAP stand for?

Same sign, Opposite sign, Always Positive

200

If you are going to solve this polynomial by graphing, what would be the related function?: 

x³ - 9x² + 27x = 20

x³ - 9x² + 27x - 20

300

The area of Yani's desk is modeled by x² + 4x. The area of Alondra's desk is modeled by 2x² - x - 6. If both of their desks have the same area, what is the value of x?

x = 6

400

Factor completely: x⁶ - 64

(x+2)(x²-2x+4)(x-2)(x²+2x+4)

5

100

What type of binomial is (x² - 16) ?

Difference of Squares

200

What is the correct expansion of (A³ + B³) ?

(A + B)(A² - AB + B²)

300

Factor by Grouping: 

3n³ - 4n² + 9n -12

(n² + 3)(3n - 4)

400

Write in Quadratic Form: 10x⁴ + 25x⁸ - 17

(5x⁴)² + 2(5x⁴) -17