Algebra 1 Polynomial Review

Adding and Subtracting Polynomials

100

(3x+1)+(5x-3)

2x-2

200

(6x⁸-5x²+1)-(2x⁸-x²+13)

4x⁸-4x²-12

300

(x³+2x⁵-3x)-(5x²+3x³-10x+3²)

2x⁵-2x³+7x-9

400

(3b + 5 − 4b² ) − (8b² + 6b − 3)

−12b² − 3b + 8

500

(3x + 3x³ − 5x⁴ ) + (4x³ + 3x − 5x⁴ )

−10x⁴ + 7x³ + 6x

FOIL

100

(x+1)(x-1)

x²-1

200

(3x+4)(2x-7)

6x²-13x-27

300

(2x+7)(3x+1)(x+2)

6x³+35x²+53x+14

400

(5x-10)(3x-5)

15x²-55x+50

500

(2x²+5x+4)(3x-4)

6x³+7x²-8x-16

Degree

100

5x²

2

200

18x⁷

7

300

15x³y⁵

8

400

201x³y⁴z²

9

500

1024x¹⁰y³z⁴⁰b

54

Leading Coefficient

100

7x

7

200

18x+14

18

300

5x²-17x+2

5

400

5x+48x²-13

48

500

108x+7x²-3x⁵+8x³+4x⁴+72

-3

Name by terms

100

7x

Monomial

200

16x²+2x+4

Trinomial

300

15x-2

Binomial

400

7x+x²-3

Trinomial

500

8x¹⁰²

Monomial