Polynomials by Bosma

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

Factor x² - 81 = 0

x = 9, -9

200

Find the roots:   12x²+ 36x = 0

x = 0, -3

300

WINNER

FREE POINTS

400

Which ocean boarders California?

Pacific Ocean

500

What is the quadratic formula used for?

finding roots, zeros, where the graph crosses the x axis (and to make me mad when I do it wrong).

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

Classifying and Properties

100

What is the parent function for quadratic equations?

y = x²

200

Write the following in standard form:

-8 - 11x + 3x⁴ + 12x²

3x⁴ +12x² - 11x - 8

300

How many terms must an expression have in order to be considered a polynomial? 

4+

400

You bought a car for $5,000, it depreciates by 15% each year.  Write a model giving the car value (v) after t years.

v = 5,000(.85)^t

500

Which form does this equation represent?

f(x) = (x - 4)² + 16

vertex form

600

The equation below is written in which form?

(x + 4)(x + 7)= 0

intercept form

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