Polynomials

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

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

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

600

Find the perimeter of a square whose side length is 5x + 5

20x + 20 units

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

600

Subtract the following polynomials

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

Random Trivia

100

What is the name of the Dinosaur in Toy Story?

Rex

200

In the nursery rhyme Jack and Jill, what do Jack and Jill go up the hill to fetch?

A pail of water

300

What does the acronym MMA stand for?

Mixed Martial Arts

400

Which ocean boarders California?

Pacific Ocean

500

What is the largest state in America (USA)?

Alaska

600

If you suffer from "Arachnophobia" what are you afraid of?

Spiders

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

(x - 1)(−8x² − 6x − 12 )

-8x³ - 6x² - 12x + 8x² + 6x + 12

-8x³ + 2x² - 6x + 12 (Correct Answer)

400

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

500

Multiply the Polynomials:

(3x-6)(5x+3)

15x²-21x-18

600

What is the area of a square with a width of 

(3r+ 5)

9r² + 30r + 25

Exponent Rules (solving)

100

(5x)3z²

15xz²

200

(5x³)²  

25x⁶

300

(3y⁵)²+4x(10x³)

9y¹⁰+40x⁴

400

(2x³y⁵z¹⁰)²+8y⁵z¹⁶(10x⁶y⁵z⁴)

84x⁶y¹⁰z²⁰

500

3(x⁵+y¹⁰+z¹¹)-(xy)⁴

3x⁵+3y¹⁰+3z¹¹-x⁴y⁴

600

(-4xy⁴z⁵)⁴+(3y⁵z³)(2y⁵z⁴)(4x²y³)

256x⁴y¹⁶z²⁰+24x²y¹³z⁷

Exponent Rules

100

True or False

When adding and subtracting monomials the variables and exponents change.

False

200

Name the Rule and how it works

x^0

Zero Exponent Rule

The term equals to 1

300

Name the Rule and how it works

x^-1

Negative Exponent Rule

Converts term into a fraction, moves the variable to the denominator while changing the exponent to a positive.

400

Name the Rule and how it works

(x^a)/(x^b)

Quotient Rule

Subtracts Exponents

500

Name the Rule and how it works

(x^a)^b

Power Rule

Multiplies Exponents

600

Name the Rule and how it works

x^a*x^b

Product Rule

Adds exponents