Polynomial Review

Adding Polynomials

100

Add the following polynomials

x⁴+4x⁴

5x⁴

200

Add the following polynomials

(x²-3)+(3x²+7)

4x²+4

300

Add the following polynomials

(3x³+x²+9)+(x³-3x²+1)

4x³-2x²+10

400

Add the following polynomials

(-9k³-3k²h+h⁴)+(k³-7kh²+4h⁴)

5h⁴-7kh²-3k²h-8k³

500

Add the following polynomials

(2k³-7k)+(-5k³-k²-3k)

-3k³-k²-10k

Subtracting Polynomials

100

Subtract the following polynomials

7x⁴-2x⁴

5x⁴

200

Subtract the following polynomials

(a³-2a²)-(4a³+3a²)

-3a³-5a²

300

Subtract the following polynomials

(4r³+3r⁴)-(-5r³+r⁴)

2r⁴+9r³

400

Subtract the following polynomials

(8n-3n⁴+10n²)-(3n²+11n⁴-7)

-14n⁴+7n²+8n+7

500

Subtract the following polynomials

(3-6n⁵-8n⁴)-(-6n⁴-3n-8n⁵)

2n⁵-2n⁴+3n+3

Multiplying Polynomials

100

Multiply the following polynomials

w²(w²+3)

w⁴+3w²

200

Multiply the following polynomials 

r²(7r³-3r+9)

14r⁵-3r³+9r²

300

Multiply the following polynomials

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

18m²+21m-9

400

Multiply the following polynomials

(3r²+5)²

9r⁴+30r²+25

500

Multiply the following polynomials

(t²+4)(t³+6t-3)

t⁵+10t³-3t²+24t-12

Definitions

100

A number or variable in a polynomial that is separated  by an addition or subtraction sign is called a ______

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

A polynomial is written in _________when the terms are arranged in order from greatest degree to least degree

standard form

500

A polynomial with a degree of 4 and 2 terms is called a...

4th degree binomial

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x⁵-19x⁷

7th Degree

200

Classify by degree & number of terms:

2x³+3x-7

Cubic (or 3rd degree) trinomial

300

Classify by degree & term:

10

Constant (or zero degree) monomial

400

True or False

Polynomials can have constants, variables and exponents

True

500

The degree of this monomial

x³y²z

6th degree