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

Vocab

100

How many terms are in this polynomial:  3x² + 5

Two

200

Give an example of a quadratic trinomial.

Answers may vary. Ex: x²+8x+12

300

What is the degree of this trinomial:   5x⁴+2x⁵+3

5

400

What is the constant term in the polynomial:

 5xz² + 23 - 3y²

23

500

Name the leading coefficient, degree, and constant of this trinomial:

3x²+4x-8

LC: 3

Degree: 2

Constant: -8

600

Put this in simplest standard form and name the leading coefficient and degree:

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

Standard Form: -5x³ + 10x² 

LC: -5    Degree: 3

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

Just for fun :)

100

When is your Algebra 1 Regents exam? 

Wednesday, June 18, 2025 at 12pm.

200

Who is the best singer of our generation? (In Ms. Argueta's humble opinion, of course)

Ariana Grande

300

This symbol represents the number 3.14159265359...

What is 

pi?

400

This Spanish artist was known for his different artistic eras, or periods, such as his famous "blue period".

Who is Pablo Picasso?

500

Math became an organized science in this country some 2,500 years ago.

What is Greece?

600

This duo holds the record for the most touchdowns between quarterback and tight end in NFL postseason history.

Who are Patrick Mahomes and Travis Kelce?