Polynomial Review

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

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(x + 5)

x² + 5x

300

Multiply the Polynomials:

(2x - 3)(x - 1)

2x² - 5x + 3

400

Multiply the Polynomials:

(y + 5)(y² + 2y - 6)

y³ + 7y² + 4y - 30

500

Multiply the Polynomials:

(4x - 1)(2x² +6x -3)

8x³ + 22x²-18x + 3

Exponent Rules

100

Simplify each expression. Express your final simplified answers with positive exponents only.

(4x/y³)^-2

(y⁶/16x²)

200

Simplify each expression. Express your final simplified answers with positive exponents only.

(x^-5y⁴/x^-3y^-2)

(y⁶/x²)

300

Simplify each expression. Express your final simplified answers with positive exponents only.

(3x⁷)(4x^-4)

12x³

400

Simplify each expression. Express your final simplified answers with positive exponents only.

(-3x⁴y³)²

9x⁸y⁶

500

Simplify each expression. Express your final simplified answers with positive exponents only.

((-2a⁴/b⁵)⁶

(64a²⁴/b³⁰)

Wild Card

100

Write the following polynomial in standard form:

-5x² + x⁶ - x⁴ + x³ - 9 + 7x

x⁶ - x⁴ + x³ - 5x² + 7x - 9

200

When is Ms. Morris's birthday?

November 1st

300

What is Ms. Morris's favorite Alani flavor?

Pink Slush

400

Where did Ms. Morris go to college?

NC State!

500

Who was Ms. Morris's Geometry teacher?

Mrs. Stone!