Polynomial Basics

Name that Polynomial

100

2x²+3

Quadratic Binomial

200

3x²-2x+1

Quadratic Trinomial

300

5x⁴

4th degree monomial

400

5x⁷-3x¹¹+16x-24x⁹+3

11th degree 5 term polynomial

500

3x⁹y⁴-9x¹¹y

13th degree binomial

Find the Like Terms

100

2x, 7, 6x

2x & 6x

200

3x², 5x², 2x, 4

3x² & 5x²

300

2x²y³, -3x³y², -3x²y

No like terms

400

4, 7x, 19x², 3y, 9

4 & 9

500

Two sets: 2x², 4x³, 9x⁴, 6x³, 19x²

2x² & 19x²

4x³ & 6x³

In the Lead(ing coefficient)

100

4x²-2x+1

4

200

-3x-1

-3

300

2x-4x³+9x²

-4

400

16x³-9x⁴+x⁵

1

500

25x³y⁴-19x²y⁷+34x⁵

-19

Add It Up

100

(3x+4)+(2x+6)

5x+10

200

(5x-13)+(-2x-7)

3x-20

300

(2x²-3x+1)+(3x²+3x-1)

5x²

400

(3x-4x²+6)+(-x²+7x+1)

-5x²+10x+7

500

(2x³y-3x²y²+4xy³)+(5xy³+6x²y²)

2x³y+3x²y²+9xy³

Take Aways

100

(3x-2)-(4x+1)

-x-3

200

(x²+1)-(-2x²-7)

3x²+8

300

(2x³-4x²+7x)-(3x²+9x)

2x³-7x²-2x

400

(4x⁵-3x⁷+9)-(-2+3x⁵-2x⁷)

x⁷+x⁵+11

500

(2x³y²+3x²y³)-(3x²y³+2x³y²)

0