Unit 1 Polynomial Expressions Review

Polynomial Basics

100

What do we call a polynomial with one term?

Monomial

200

What is the degree of 5x³+ 7x - 2?

3

300

Identify the leading coefficient of 6x⁴ - 3x² + 8.

6

400

Which is NOT a polynomial: 

3x² + 5x - 1

1/x + 3

7x³ - 4

1/x +3

500

Write a trinomial of degree 4.

Answer: Example: 2x⁴+ 3x² + 1

Add/Subtract Polynomials

100

Simplify: (3x + 5) + (2x + 7)

5x + 12

200

Simplify: (6x²+ 4x) - (2x² + 3x)

4x²+ x

300

Combine: 7x³ + 2x² + 3x³ + 5x²

10x³+ 7x²

400

Simplify: (4x² - 3x + 2) + (5x² + 7x - 4)

9x² + 4x - 2

500

Subtract: (8x³ + 4x²) - (5x³ + 7x² - 2)

Answer: 3x³ - 3x² + 2

Multiplying Polynomials

100

Simplify: x(x + 6)

x² +6x

200

Simplify: (2x)(3x²)

6x³

300

Expand: (x + 2)(x + 5)

x² + 7x + 10

400

Expand: (2x + 3)(x + 4)

 2x² + 11x + 12

500

Expand: (x - 3)(x²+ 2x + 1)

Answer: x³ - x²- 5x - 3

Exponent Rules

100

Simplify: x² * x³

x⁵

200

Simplify: (2x³)(5x²)

10x⁵

300

Simplify: x⁶ / x²

x⁴

400

Simplify: (x²)³

x⁶

500

Simplify: (2x³y²)(3x²y⁴)

6x⁵y⁶

Area and Perimeter

100

Perimeter of square with side (x + 2)

4x + 8

200

Area of square with side (x + 5)

x² +10x+25

300

Area of rectangle with length x+3, width x+4

x² +7x+12

400

Perimeter of rectangle with length 2x+1, width x+2

6x+6

500

Area of rectangle with length 3x+2, width x+5

Answer: 3x² + 17x + 10