Unit 4 Jeopardy

Monomials

100

Solve. 

5x² x -7x⁶

-35x⁸

200

Solve.

2k⁴ x 10k^-7

20/k³

300

Name the product rule.

a^m x aⁿ = a^m+n

400

Name the zero exponent rule.

a⁰ = 1

500

Solve.

0⁰

Undefined

Polynomials

100

Classify the degree and number of terms.

9x⁵-x⁴+2x

Quintic, trinomial

200

Solve.

(3x²+11x+4)+(-5x+x²-13)

4x²+6x-9

300

Solve.

(y+4y²-3)-(1+2y²-5y-y³)

y³+2y²+6y-4

400

Solve.

(2c+5d)³

8c³+60c²d+150cd²+125d³

500

Solve.

20x³-4x²-8x/4x

5x²-x-2

Trinomials

100

Solve.

n⁴+2n²-24

(n²+6)(n+2)(n-2)

200

Solve.

9m⁴-12m²+4

(3m²-2)(3m²-2)

300

Solve.

x⁵-24x³-25x

x(x+5)(x-5)(x²+1)

400

Solve.

2a³+38a²+68a

2a(a+17)(a+2)

500

Solve.

3x⁴+14x²-5

(x²+5)(3x²-1)

Difference of Squares

100

What is the rule for difference of squares?

a²-b² = (a+b)(a-b)

200

Solve.

9x²-49y²

(3x-7y)(3x+7y)

300

Solve.

7m⁷n-28mn³

7mn(m³-2n)(m³+2n)

400

Solve.

72c⁴-2

2(6c²-1)(6c²+1)

500

Solve.

10w⁴-10w

10w(w²+1)(w+1)(w-1)

Difference of Cubes

100

What is the rule for difference of cubes?

a³-b³ = (a-b)(a²+ab+b²)

200

Solve.

x³-1

(x-1)(x²+x+1)

300

Solve.

4-32h³

4(1-2h)(1+2h+4h²)

400

Solve.

216k³-124

(6k-5)(36k²+30k+25)

500

Solve.

2x³-54y³

2(x-3y)(x²+3xy+9y²)