End of Year Review Part 2

Exponents

100

x⁵(x¹¹)

x¹⁶

200

n⁵/n²

n³

300

(x²y)⁴

x⁸y⁴

400

(3x^-2y¹⁰)^-3

x⁶/3³y³⁰

500

(2x³y²/3xy)^-3

3³/2³x⁶y³

Add/Subtract Polynomials

100

(2x³+4)+(5x³+2)

7x³+6

200

(x³-2x²)-(3x²-4x³)

5x³-5x²

300

(5x²-3)+(2x²-3x³)

-3x³+7x²-3

400

(-4x⁴+14+3x²)+(-3x⁴-14x²-8)

-7x⁴-11x²+6

500

(3-6x⁵-8x⁴)-(-6x⁴-3x-8x⁵)

2x⁵-2x⁴+3x+3

Multiply Polynomials

100

6x(2x+3)

12x²+18x

200

2x(-2x-3)

-4x²-6x

300

(x-3)(6x-2)

6x²-20x+6

400

(4x-1)²

16x²-8x+1

500

(7x-3)(x²-2x+7)

7x³-17x²+55x-21

Factoring

100

x²+8x+7

(x+7)(x+1)

200

x²-11x+10

(x-10)(x-1)

300

x²+4x-12

(x-2)(x+6)

400

4x²-15x-25

(x-5)(4x+5)

500

-6x²-25x-25

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

Random

100

Identify the Degree:

-6x⁵-2x⁶-3-x²

6

200

Identify the Leading Coefficient:

3x²-7x¹⁰-5

-7

300

Identify the Leading Coefficient and Degree:

-2x²-6x¹⁰-3x⁶-6x⁸

Degree: 10

Leading Coefficient: -6

400

Factor by GCF:

5b²k²+25bk²-250k²

5k²(b²+5b-50)

500

Factor by GCF:

-4m²x+8mxn+140n²x

-4x(m²-2mn-35n²)