Exponent Rules and Polynomial Operations Review Game

Laws of Exponents

Add & Subtract Polynomials

Divide Polynomials by Polynomials

Multiply Polynomials

Factoring Polynomials

100

What property of exponent is this? --> b⁰

Zero Exponent Rule --> b⁰= 1

100

What is "(2v² + 6v) -(8v + 4)" ?

2v² - 2v + 2

100

What is the quotient of "2x¹³ + 10x¹¹ / 2x⁷" ?

1x⁶ + 5x⁴

100

What is "-5x(4x - 2)" simplified?

-20x² + 10x

100

What is "5x²y³+15x³y²" factored? (Using G.C.F.)

5x²y²(y+3x)

200

What property of exponent is this? --> (b^m)(bⁿ)

Product Exponent Rule --> (b^m)(bⁿ) = b^m+n

200

What is "(2v² + 5v - 8)+(-9v²+ 3v - 6)" ?

-7v² +8v - 14

200

What is the quotient of "5x¹⁰ - 40x⁶ / 5x⁴" ?

1x⁶ - 8x²

200

What is "(6x + 3)(6x-3)" simplified?

36x² - 9

200

Factor the polynomial: 6x² + 12x + 6

6( x + 1)²

300

What property of exponent is this? --> (b^m)ⁿ

Power Raised to a Power Exponent Rule --> b^{m * n}

300

!!*BONUS*!! (Worth Double Points)

What do you have to do when adding and subtracting polynomials?

You have to combine "like" terms.

300

What is the quotient of "4x¹⁵ - 28x¹⁰ / 4x⁶" ?

1x⁹ - 7x⁴

300

What is "(9x - 3)²" simplified?

81x² - 54x + 9

300

What is "3x - 12" factored? (Using G.C.F.)

3(x - 4)

400

What property of exponent is this? --> b⁰

Zero Exponent Rule --> 1

400

What is "(9b² + 4b - 2) -4(9b² + 2)" ?

-27b² + 4b - 10

400

!!*BONUS*!! (Worth Double Points)

1: How many terms does a polynomial have?

2: What is the binomial of the expression? (5x + 3)(4x - 2x +1)

1: 4+ (4 and more) terms

2: (5x + 3)

400

What is "4x⁴(x⁸ + 3x³)" simplified?

4x¹² + 12x⁷

400

Factor the polynomial: x² + 11x + 28

(x + 7)(x + 4)

500

Define the law of exponent rule and solve: 5^-3

Negative Exponent Rule; 1 / 5³ or 1 / 125

500

What is "(32x²+36x-16) + (20x²-8x+32)" ?

52x²+28x+16

500

What is the quotient of "6x¹² + 30x⁸ + 24x⁵ / 6x⁵" ?

1x⁷ + 5x³ + 4

500

What is "2x⁶(x⁹ + 4x¹ +4)" simplified?

2x¹⁵ + 8x⁷ + 8x⁶

500

Factor the polynomial: 24x² - 7x - 5

(8x - 5)(3x + 1)