Polynomials

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(-5x²+3x⁶+5) + (-5x⁶-5-3x²)

-2x⁶-8x²

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

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

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2x-6)²

4x² -24x +36

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring GCF/ Difference of Squares

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

2x² - 8

2(x+2)(x-2)

400

Factor:

4p² - 256

4(p+8)(p-8)

500

Factor out the GCF

18n⁴+42nm+6n

6n(3n^3+7m+1)

Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

3x⁴y + 6x³y² +15x²

3x²(x²y + 2xy² +5)

300

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

400

Factor:

-15x² - 5x + 50 

-5(3x-5)(x+2)

500

Factor:

n³ - 9n

n(n+3)(n-3)

Random Fun

100

This is the most consumed food in the world.

This is the most consumed food in the world.

200

What city is considered the birthplace of Spring Break?

Fort Lauderdale, FL

A NY college swim coach wanted to take his team someplace warm in 1936 to complete.  Fort Lauderdale was chosen and "Spring Break" as we know it was born.

300

This city is the host of the 2024 Olympic games.

Paris

400

This toy was the first to be advertised on television.

Mr. Potato Head

500

What is the most popular road trip food in the US?

Potato Chips

Classify

100

What is a number or variable in a polynomial that is separated  by an addition or subtraction sign

a term

200

DAILY DOUBLE

The number before a variable within a term is called the...

Coefficient

300

The number in front of the term with the highest exponent.  

Leading Coefficient

400

The highest exponent on the variables in a term

Degree of the term

500

Terms that have the same variables and the same degree are....

Like terms