Polynomial Basics

Naming Polynomials

100

The name of this polynomial: 6x²

quadratic monomial

200

The name of this polynomial: 2x⁴ + 3x + 5

quartic trinomial

300

The name of this polynomial: 4x²

quadratic monomial

400

The name of this polynomial: -5x³ + 2x² + 3x - 1

cubic polynomial

500

The name of this polynomial: -1

constant monomial

Mixed Vocabulary

100

Put this polynomial in standard form: -1 + 3x² + 4x

3x² + 4x - 1

200

This is the number at the front of a polynomial in standard form.

leading coefficient

300

x, y, and z are all considered what in math?

variable

400

Put this polynomial in standard form: 5x⁴ - 2x² - 1 + 4x³ + 7x + 7x⁵

7x⁵ + 5x⁴ + 4x³ - 2x² + 7x - 1 

500

The name of a polynomial with power of 3 and two terms.

cubic binomial

Adding Polynomials

100

Add: (4x + 9) + (3x + 2)

7x + 11

200

Add: (7x² + 2x ) + (1x² + 4x + 8)

8x² + 6x + 8

300

Add: (3x²  + 4) + (2x² + 5x + 7)

5x² + 5x + 11

400

Add: (7x² + 4x + 2) + (3x³ + 9x² + 7)

3x³ + 16x² + 4x + 9

500

Add: (7x³ + 3x) + (4x² + 9)

7x³ + 4x² + 3x + 9

Subtracting Polynomials

100

Subtract: (6x² + 9x + 2) - (3x² + 4x + 1)

3x² + 5x + 1 

200

Subtract: (7x² + 4x + 2) - (6x² + 2x + 5)

x² + 2x - 3 

300

Subtract: (3x² + 2x + 9) - (4x² + 7x + 2)

-x²  - 5x + 7 

400

Subtract: (2x² + 5) - (6x² + 2x + 9)

-4x² - 2x - 4

500

Subtract  (2x² + 9x + 12) from (5x³ + 2x² + 7x + 1)

5x³ - 2x - 11 

Multiplying Polynomials

100

Multiply: 

3(x² + 2x - 1)

3x² + 6x - 3

200

Multiply: 

5x²(4x³ + 2x - 1)

20x⁵ + 10x³ -5x²

300

Multiply: 

( x+ 2)(x - 4)

x² - 2x - 8

400

Multiply: 

(x - 8)²

x² -16x + 64

500

Multiply: 

(2x² + 3)(5x - 2)

10x³ - 4x² + 15x - 6