Polynomial Review

Naming Polynomials

100

11r³ + 13r² + 2r

Cubic Trinomial

200

3p

Linear Monomial

300

8

Constant Monomial

400

4n - 9

Linear Binomial

500

14a⁴ + 24a³ + 16a

Quartic trinomial

Adding Polynomials

100

(5p² + 3) + (2p² + 3)

7p² + 6

200

(4 + 2n³) + (5n³ + 2)

7n³ + 6

300

(9r³ + 5r² + 11r) + (2r³ + 9r + 8r²)

11r³ + 13r² + 20r

400

(4k⁴ + 4 + 3k⁴) + (3k⁴ + 14k² + 8)

7k⁴ + 17k² + 12

500

(12a⁵+ 6a + 10a³) + (10a + 2a⁵ + 14a³)

14a⁵ + 24a³ + 16a

Subtracting Polynomials

100

(3a² + 4a³) - (a³ + 2a²)

3a³ + a²

200

(5a + 4) − (5a + 3)

7

300

(3x⁴ − 3x) − (3x − 3x⁴)

6x⁴ - 6x

400

(8n + 11n⁴ + 10n²) − (3n² + 3n⁴ + 7)

8n⁴ + 7n² + 8n - 7

500

(12a⁵− 6a − 10a⁴) − (10a − 2a⁵ − 14a⁴)

14a⁵ + 4a⁴  - 16a

Multiplying Polynomials

100

3(2p² + 3p)

6p² + 9p

200

(4 + 2n)(5n + 2)

10n² + 24n + 8

300

2a²(3a + 4)

6a³ + 8a²

400

(5x² + 2x)(6x² + 5x + 7)

30x⁴ + 37x³ +45x² + 14x

500

(x² + 3x)(6x² + 5x)

6x⁴ + 13x³ + 15x²

Multiplying Polynomials

100

(3x² − 3x)(3x − 3)

9x³ – 18x² + 9

200

3k²(−3k² − 4k − 8)

-9k⁴ – 12k³ – 24k²

300

(n² − 2n)(−6n² − 3n − 2)

-6n⁴ + 9n³ + 4n² + 4n

400

(5r² + 2r)(−2r² + 9r − 8)

-10r⁴ + 41r³ – 22r² – 16r

500

(n² - 3n) + (3n² + 11n − 7)

3n⁴ + 2n³ – 40n² + 21n