Polynomials

Vocab/Degree

100

This is a polynomial with exactly two terms.

Binomial

200

How many terms are in the polynomial 3x⁴ - 2x³ + 5x² + x - 7 ?

5

300

The highest exponent of a polynomial tells you this.

What is the degree of the polynomial?

400

In the polynomial 3x²+4x+5 , the number in front of x² is called a…

Coefficient

500

In the polynomial 5x²+3x+1 the 1 is called the…

Constant

Adding

100

Add the polynomials: x+2+3x 

4x + 2

200

Add the polynomials: (2x²+3x+1)+(x²+5x+4)

3x²+8x+5

300

Add the polynomials: (4x³+2x²−x+5)+(3x³−x²+4x−2)

7x³+x²+3x+3

400

(5x⁴−2x³+3x²−x+6)+(−3x⁴+4x³−x²+2x−5)

2x⁴+2x³+2x²+x+1

500

(−3x⁴+6x⁵−x²+x+2x³−4)+(3x²−2x⁵+x³−2x+7+5x⁴−4x³)

4x⁵+2x⁴−x³+2x²−x+3

Subtracting

100

Subtract the polynomials: (3x+5)−(x+2)

2x+3

200

Subtract the polynomials: (2x²+4x+3)−(x²+2x+1)

x²+2x+2

300

Subtract the polynomials: (4x³+2x²−x+5)−(3x³−x²+2x−2)

x³+3x²−3x+7

400

Subtract the polynomials: (3x³−2x+4x²−5+x)−(x²+2x³−3x+1)

x³+3x²+2x−6

500

(3x⁴−2x³+5x²−x+7+4x³−3x²+2x−6)−(2x⁴+x³−4x²+3x−5+x²−2x+4)  

x⁴+x³+5x²+2

Multiplying

100

2(x+3)

2x+6

200

5(x²+2x+1)

5x²+10x+5

300

(3x³−2x+4)⋅2

6x³−4x+8

400

−3(2x²−x+4+x³)

−3x³−6x²+3x−12

500

(−2+x³−4x+3x²−x)⋅−4

−4x³-12x²+20x+8

Dividing

100

(6x+12)÷2

3x+6

200

(10x²+20x+5)÷5

2x²+4x+1

300

(−12x³+6x−18)÷−6

2x³−x+3

400

(6x³−9x²+12x)÷3

2x³−3x²+4x

500

(−4+8x²−12x+4x³−2x)÷−2

−2x³−4x²+7x+2