Polynomials

Adding Polynomials

100

Add the polynomials (std form), classify, LC:

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

4a + 3, linear binomial, LC=4

200

Add the polynomials(std form), classify, LC::

(x² +3x + 5) + ( -x² +6x)

9x + 5, linear binomail, LC=9

300

Add the polynomials(std form), classify, LC::

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3, cubic polynomial, LC=1

400

Add the Polynomials(std form), classify, LC:

(5x²+7x-13) + (10x²-3x+23)

15x²+4x+10, quadratic trinomial, LC=15

500

Add the polynomials (std form), classify, LC:

(4x²+2x+3)+(-3-2x-3x²+4x⁵)

4x⁵+x² , quintic binomial, LC=4

600

Write a polynomial to represent the perimeter of a rectangle whose side lengths are (2x+2) yards and (4x+3) yards.

(12x+10) yards

Subtracting Polynomials

100

Subtract the polynomials(std form), classify, LC::

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

-2g + 2, linear binomial, LC=-2

200

Subtract the polynomials(std form), classify, LC::

(5x²+7x-13) - (10x²-3x+23)

-5x²+10x-36, quadratic trinomial, LC=-5

300

Subtract the polynomials(std form), classify, LC::

(-x² - 5) - (-3x² -x -8)

2x² + x +3, quadratic binomial, LC=2

400

Subtract the Polynomials(std form), classify, LC::

(k² + 6k⁴ -4) - (5k⁴ + 7k -3k²)

k⁴ + 4k² -7k -4, quartic polynomial, LC=1

500

Subtract the Polynomials(std form), classify, LC::

(2x - 3x) - (x² -2x + 4)

-x² + x - 4, quadratic trinomial, LC = -1

600

Subtract the following polynomials(std form), classify, LC:

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3, quintic polynomial, LC=2

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

Write a polynomial to represent the area of a rectangle with a length of (4x+3) yards and a width of (2x+2) yards? 

Area = (8x²+26x+18) yards²

Classifying and Properties

100

State the degree and name for this polynomial:

3x⁴- 12x³

Quartic; Binomial

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

What is the degree of the following term?

-2x

Linear

500

Classify the polynomial by degree & number of terms:

4x² - 3x + 7

trinomial, quadratic

600

Which of these is in standard form?

1. x + 1

2. x³ - 4x + x²

3. 15x + 10x² - 5x⁴

1; order from least to greatest exponent

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