Polynomial Jeopardy

Laws of Exponents

100

Applying the Product Rule x^ax^b equals this.

What is x^a+b?

200

The rule that simplifies a single base with two exponents  (x^a)^b=x^ab.

What is the Power Rule?

300

Do this when dividing monomials that have the same base.

What is subtract exponents?

400

Solve 2x²(3y)(4xy)

What is 24x³y²?

500

Solve 7(x⁴)³/(3x²)²

What is 7x⁸/9?

Add & Subtract

100

Solve (-3x-4)+(2x+6)

What is -3x+2?

200

When subtracting polynomials do this to the second set of terms to make them simple in order to add like terms.

What is distributing the negative?

300

Solve (3x²+5x-3)+(x²-5x+1)

What is 4x²-2?

400

Solve (2y³+2y)-(3y³+y)

What is -y³+y?

500

Solve (-6x³+5x²-3)-(2x³-4x²-3x+1)

What is -8x³+9x²+3x-4?

Division

100

Solve x⁵/x³

What is x²?

200

The product of any number to the power of 0.

What is 1?

300

Solve -32x⁷y⁸/16x⁹y

What is -2y⁷/x²?

400

Solve

(6x³+150x²+5x)/15x

What is 2x²/5+10x+1/3?

500

Solve (b³+13b²+42b+54)/(b+9)

What is b²+4b+6?

Multiplication

100

The method for multiplying two or more polynomials together.

What is polynomial multiplication?

200

Solve 6a(2a+3)

What is 12a²+18a?

300

Solve

(3b-1)(8b+7)

What is 24b²+13b-7?

400

Solve 8x³(2x²+8xy+6y²)

What is 16x⁵+64x⁴y+48x³y²?

500

These are three methods to multiply polynomials.

What are FOIL, box, and distributive property?

What is it?

100

An algebraic expression that contains any number of terms combined by using addition or subtraction.

What is polynomials?

200

They are defined as the terms that contain the same variable which is raised to the same power.

What are like terms?

300

The term that represents the 4 in this equation. 4x-7=5

What is coefficient?

400

A number, a variable or a product of a number and variables.

What is monomial?

500

The rule of keeping the base and add the exponent.

What is the product rule?