S6 - Polynomial Operations

Classifying Polynomials

100

The name of a polynomial with one term

monomial

200

This polynomial has three terms: x² + 2x + 3. It is known as a _________________

trinomial

300

How many terms does a binomial have?

two terms

400

What is the highest degree of this polynomial x⁵ + x² -2x⁶?

6

500

Put this polynomial in standard form:
-3x + 2x² - 8x⁴ + 10

8x⁴ + 2x² - 3x + 10?

Adding Polynomials

100

(x² + 2x) + 3x

x² + 5x

Bonus Points! - Name it.

200

(2x + 1) + (3x + 5)

5x + 6

Bonus Points! - Name it.

300

(4x² + 2x) + (3x² + 6x)

7x² + 8x

Bonus Points! - Name it.

400

(-5x² + 7x) + (2x + 8)

-5x² + 9x + 8

Bonus Points! - Name it.

500

(-6x² + 2x - 5) + (10x³ - 7x + 2x² + 7)

10x³ - 4x² - 5x + 2

Bonus Points! - Name it.

Subtracting Polynomials

100

x² - (3x² + 2x) 

-2x² - 2x

Bonus Points! - Name it.

200

(x + 7) - (2x - 3)

-x + 10

Bonus Points! - Name it.

300

(x² + 5x) - (-6x² - 7x)

7x² + 12x

Bonus Points! - Name it.

400

(9x² + 3x - 5) - (2x - 19)

9x² + x + 14

Bonus Points! - Name it.

500

(5x² + 3x³ - 7x + 10 - 8x) - (3x² + 10x - 17)

3x³ + 2x² - 25x + 27

Bonus Points! - Name it.

Multiplying Polynomials

100

(x + 7)²

x² + 14x + 49 

200

(x + 12)(3x + 2)

3x² + 38x + 24

300

(x - 5)²

x² - 10x + 25

400

(2x + 7)(-3x + 5)

-6x² -11x + 35

500

7x(10x² + 11x - 5)

70x³ + 77x² - 35x

Exponents

100

(2 x^2y^-3)/(2x)

(x)/y^3

200

(10x¹¹)(9x¹²)

90x²³

300

(x²y³)³

x⁶y⁹

400

(x⁴y³)³(x²y)^-4

 x⁴y⁵

500

2/ (a^-13)

2a¹³