The Polynomial Playoffs

Simplifying Radicals

100

The simplified version of √(16x^3)

What is 4x√(x)?

200

The simplified version of √(20)?

What is 2√(5)?

300

The simplified version of √(36x⁸y)

What is 6x⁴√(y)?

400

The simplified version of ⁵√(x²³) 

What is (x⁴)⁵√(x³)?

500

⁴√(256x⁸)*³√(125x²) in the simplest form

What is 20(x²)³√(x²)?

Fractional Exponents

100

The simplest form of x^4/2

What is x²

200

(16⁵)^(1/2) in the simplest form.

What is 1024?

300

The simplest version of (z^2/3)/(z^5/3)

What is z?

400

The simplest version of (y^3/2)(y^1/2)

What is y²?

500

The simplest form of ((a^4/5*b^1/2)/(a^1/5*b^3/2))²

What is (a^6/5)/(b²)?

Dividing Algebraic Radicals

100

The simplest form of (√50)/(√2)

What is 5?

200

The simplest form of (2√18)/(√2)

What is 6?

300

The simplest form of (3√48)/(√3)

What is 12?

400

The simplest form of (√28+√7)/(√7)

What is 3?

500

The simplest form of (5√(x³))/(2√x)
(If x>0)

What is (5/2)x?

Operations with Polynomials

100

The sum of (3x²+2x+1)+(2x²−4x+3) 

What is 5x²-2x+4?

200

The difference of (4x³−3x+1)−(x³+2x²−x)

What is 3x²-2x²-2x+1?

300

The product of (2x+3)*(x−1) 

What is 2x²+x-3?

400

The solution to (3x²−x+4)+(2x−5)−(x²+2x) 

What is 2x²-2x-1?

500

The product of (x²+2x+1)×(2x²−3x+4)

What is 2x⁴+x³−2x²+6x+4?

Factoring Trinomials

100

The factored form of x²+5x+6

What is (x+2)(x+3)?

200

The factored form of x²+9x+20

What is (x+4)(x+5)?

300

The factored form of x²-x-20

What is (x-5)(x+4)

400

The factored form of 2x²+5x-3

What is (2x-1)(x+3)

500

The factored form of 3x²-14x-5

What is (3x+1)(x-5)?