Operations on 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

(3x+2)+(4x-2)+(x^2-x)

x^2+6x

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

Name it!

100

Name this polynomial:  3x² + 5

Quadratic Binomial

200

How many terms are in a Cubic trinomial?

3

300

What is the degree of this monomial:   5x⁴

4

400

Find the degree of the polynomial: 7y³ + 5 - 3y⁵

5

500

Is 2x a monomial or a constant?

BOTH!

600

Put this in standard form and name it:

4x³ - 1 - 2x + 3x² - 7 + x + 7x² - 9x³ + 8 + x

-5x³ + 10x² 

Cubic Binomial

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

−y² (−8x² − 6xy − y² )

8y²x² + 6y³x + y⁴ 

400

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

500

Multiply the Polynomials:

(3x-6)²

9x² -36x + 36

600

Multiply the following polynomials

(3r + 5)(4r² + 3r + 3)

12r³+29r²+24r +15

More multiplying

100

Multiply (x+5)(x-5)

x² - 25

200

Simplify

(3x + 7)²

9x² + 42x + 49

300

(4x - 3y)(4x + 3y)

16x² - 9y²

400

(11xy - 5z)²

121x²y² - 110xyz + 25z²

500

(9z³ - 7y⁴)(9z³ + 7y⁴)

81z⁶ - 49y⁸

600

What is the pattern that all squared binomial follow?

a² + 2ab + b²

Math Facts!

100

This other subject is strongly associated with math. 

What is science? 

200

What is the variable assigned to an imaginary number? 

What is 

i?

300

This symbol represents the number 3.14159265359...

What is 

pi?

400

This symbol represents the number 2.71828...

What is 

e?

500

Think SOH, CAH, TOA

What is Sine, Cosine, and Tangent? 

600

This is the date Algebra can be traced back to. 

What is 1900 BC?