Polynomial Review

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+5h⁴⁰

500

Add the following polynomials

(2k³-7k)+(-5k³-k²-3k)

-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 2r⁴+9r³?

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+31m-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+4t³+6t²r+24r-12?

Definitions

100

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

Term

200

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

Coefficient

300

Terms that have the same variables and the same exponent(s) are....

Like Terms

400

The highest exponent on the variables in a term

Degree of the term

500

A polynomial with a degree of 3 and 3 terms is called a...

Cubic Trinomial

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x⁵-19x⁷

7th Degree

200

Classify this polynomial:

2x³+3x-7

3rd degree trinomial

300

Classify:

10

Monomial

400

True or False

Polynomials can have constants, variables and exponents

True

500

The degree of this monomial

x³y²z

6th degree monomial