Polynomials

Exponent Rules

100

x²*x⁵

x⁷

200

Simplify : (2x²)³

8x⁶

300

Rewrite with positive exponents: 

-3x^-3

-3/x^3

400

Rewrite with positive exponents: 

(1/2 x^3)^-4

16/x^12

500

Simplify 

(-4x)^3(x^7y^4)^5(2xy)^-2

-16x^36y^18

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

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

4a + 3

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

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:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

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

12n² + 13n - 4

500

Multiply the Polynomials:

(2x - 3)(x² + 3x + 2)

2x³ + 3x² - 5x - 6

Polynomial Definitions

100

What is the coefficient of 3x²?

3

200

What is the degree of the polynomial?

4x³-3x²+2x-100

3

300

How many terms does the polynomial have?

4x³-3x²+2x-100

4

400

Classify the polynomial by the degree & number of terms:

7x-5x²-3x⁵

degree 5 trinomial

500

After fully simplifying, classify the polynomial by its degree and number of terms:

(3x)²+3x-7x²+18x-2x²

Degree 1 (linear) monomial

Holidays

100

What holiday is on December 25?

Christmas

200

What holiday is on the last day of the year?

New Years Eve

300

What holiday do people typically eat turkey, mashed potatoes, and pumpkin pie?

Thanksgiving

400

What is the name of the man that delivers presents on Christmas Eve?

Santa

500

What is Miss H's favorite Christmas movie?

Elf or The Grinch