Unit 7 Review - Polynomials

Adding Polynomials

100

Add the following polynomials

x⁴+4x⁴

What is 5x⁴?

200

Add the following polynomials

(x²-3)+(3x²+7)

What is 4x²+4?

300

When we multiply by like bases, we _____ the exponents.

What is add

400

Add the following polynomials

(-9k³-3k²h+h⁴)+(k³-7kh²+4h⁴)

What is -8k³-3k²h-7kh²+5h⁴?

500

Add the following polynomials

(2k³-7k)+(-5k³-k²-3k)

What is -3k³-k²-10k?

Subtracting Polynomials

100

Subtract the following polynomials

7x⁴-2x⁴

What is 5x⁴?

200

Subtract the following polynomials

(a³-2a²)-(4a³+3a²)

What is -3a³-5a²?

300

Subtract the following polynomials

(4r³+3r⁴)-(-5r³+r⁴)

What is 9r³+2r⁴?

400

(9a⁴-3a²)-(5a³-a)

9a⁴-5a³-3a²+a

500

Subtract the following polynomials

(3-6n⁵-8n⁴)-(-6n⁴-3n-8n⁵)

What is 2n⁵-2n⁴+3n+3?

Multiplying Polynomials

100

Multiply the following polynomials

w²(w²+3)

What is w⁴+3w²?

200

Multiply the following polynomials 

r²(7r³-3r+9)

What is 7r⁵-3r³+9r²?

300

Multiply the following polynomials

(9m-3)(2m+3)

What is 18m²+21m-9?

400

Multiply the following polynomials

(3r²+5)²

What is 9r⁴+30r²+25?

500

Multiply the following polynomials

(5b-7)(5b+7)

25b²-49

Dividing Monomials

100

Simplify: 

g^3/5g

What is g²/5

200

Simplify the x³y / xy²

What is x² / y

300

Divide the Monomials 

16ab / 4a⁴b⁷

What is 4 / a³b⁶

400

Simplify the monomial

( 6x / y )²

What is 36x² / y²

500

Simplify:

(a¹²)² / (a⁴)⁶

What is 1

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x⁵-19x⁷

What is 7?

200

Classify this polynomial:

2x³+3x-7

What is cubic trinomial?

300

Classify:

10

What is a constant monomial?

400

Recall the generalized form of the Quotient to a Power Property

(a/b)^m= a^m/b^m

500

The degree of this polynomial

6x³-3x+12x⁵+x⁴

What is 5th degree?