Unit 4 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

Add the following polynomials

(3x³+x²+9)+(x³-3x²+1)

What is 4x³-2x²+10?

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

Subtract the following polynomials

(8n-3n⁴+10n²)-(3n²+11n⁴-7)

What is -14n⁴+7n²+8n+7?

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

(t²+4)(t³+6r-3)

What is t⁵+6rt²-3t²+4t³+24r-12?

Factoring Polynomials

100

Factor the polynomial

15g³-5g

What is 5g(3g²-1)?

200

Factor the polynomial

3g⁵+9g³-18g²

What is 3g²(g³+3g-6)?

300

Factor the polynomial 

16x²-4

What is (4x-2)(4x+2)?

400

Factor the polynomial

x²+5x-14

What is (x-2)(x+7)?

500

Factor the polynomial

4x²+22x+10

What is (4x+2)(x+5)?

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x⁵-19x⁷

What is 7?

200

Standard Form of this polynomial: 

3x-7+2x³

What is 2x³+3x-7?

300

True or False

Polynomials can have division by variables

FALSE

400

True or False

Polynomials can have constants, variables and exponents

TRUE

500

The degree of this polynomial

6x³-3x+12x⁵+x⁴

What is 5?