Operations With Polynomials

Adding Polynomials

100

Classify the Polynomial and Add

-x²+6x⁶

6th Degree, Binomial 

6x⁶-x²

200

20x-4x³+1-2x²

-4x³-2x²+20x+1

300

(2x+5y)+(3x-2y)

5x+3y

400

(7 – 4k² + k) + (8k + 5k² – 7 ) 

1k²+ 9k

500

3a(6a² – 4ab²) + 8a²b² – 2b³

18a³ – 4a²b² – 2b³ 

Subtracting Polynomials

100

(5x+4)-(-2x²-3x+1)

2x²+8x + 3

200

(-4x³+ 2 - 4x⁴)-(2 - 5x⁴)

1x⁴- 4x³

300

(4a -3 -2a²)-(7a-3)

-2a²-3a

400

(11m -10m³n²)-(4m-14n³+8m⁴n)-(-2m+5n³)

-8m⁴n-10m³n²+9n³+9m

500

(-11b²-7a³b)+(-11a³b+13ab²+5b²)-(2b²-10a³b)

8a³b+13ab²-8b²

Multiplying & Dividing w/Polynomials

100

(x+6)(x-2)

x²-4x-12

200

12k²- 20k /4k

3k -5

300

(p - 6)²

p²-12p+36

400

28p⁵- 8p⁴+40p²

      4p³

7p²-2p +10/p

                   

500

(x²+4x+1)(x²+5x-6)

x⁴+9x³+15x²-6

Classifying Polynomials

100

5v²+8v+5

Quadratic Trinomial

200

7

Constant

300

10x²-5x-3

Quadratic Trinomial

400

-14p⁴-6p²+8

Quartic Trinomial

500

-2p⁵-6p⁴+16p³+4p²+5p

Degree 5 Polynomial 

Mixed Polynomials

100

Classify 4c⁵

5th Degree, Monomial

200

Classify the Polynomial

6x³- 4x²

Cubic Binomial

300

Simplify the Binomials (Use the Foil Method)

(3x²-1)(x+2)

3x³+ 6x²- x - 2

400

Subtract (a² -8ab + 2b²) from (5a² -9ab + 2b²)

(5a² -9ab + 2b²) - (a² -8ab + 2b²)

  (5a² -9ab + 2b²) + (-a²  +8ab - 2b²)

 4a²- ab

500

(4n+8n³+7n²-5n⁴) - (7n²+n⁴-4-7n) + (3n⁴+8n-7)

(4n+8n³+7n²-5n⁴)+(-7n²-n⁴+4 +7n)+(3n⁴+8n-7)

-3n⁴+8n³+19n+ 3