Module 6 Review- Polynomials

Adding Polynomials

100

(4+2n³)+(5n³+2)

7n³+6

200

(13n²+11n-2n⁴)+(-13n²-3n-6n⁴)

-8n⁴+8n

300

(5p²-3)+(2p²-3p³)

-3p³+7p²-3

400

(k⁴-3-3k³)+(-5k⁴+6k³-8k⁵)

-8k⁵-4k⁴-3k³-3

500

(−5u³ v⁴ + 9u) + (−5u³v⁴ − 8u + 8u²v²) + (−8u⁴ v² + 8u³ v⁴)

-2u³v⁴-8u⁴v²+8u²v²+u

Subtracting Polynomials

100

(5a+4)-(5a+3)

1

200

(4n-3n³)-(3n³+4n)

-6n³

300

(8b³-6+3b⁴)-(b⁴-7b³-3)

2b⁴+15b³-3

400

(14p⁴+11p²-9p⁵)-(-14+5p⁵-11p²)

-14p⁵+14p⁴+22p²+14

500

(4x²+7x³y²)-(-6x²-7x³y²-4x)-(10x+9x²)

14x³y²+x²-6x

Multiplying Polynomials

100

-4(v+1)

-4v-4

200

(4n+1)(2n+6)

8n²+26n+6

300

(4p-1)²

16p²-6p+1

400

(4v+9x)²

16v²+72vx+81x²

500

(6n²-6n-5)(7n²+6n-5)

42n⁴-6n³-101n²+25

Factoring Polynomials

100

4m²-25

(2m-5)(2m+5)

200

a²+11a+18

(a+2)(a+9)

300

-6a²-25a-25

-(2a+5)(3a+5)

400

6x²+66x+60

6(x+10)(x+1)

500

343b²-7b⁴

7b²(7+b)(7-b)

Type and Degree of Polynomials

100

-3

constant monomial

200

2n⁵

quintic (5th degree) monomial 

300

8a+1

binomial

400

4b⁶+5b⁵+b⁴

sixth degree trinomial

500

7n⁵+10n⁴-3n+10n⁷

seventh degree polynomial with four terms (Quadrinomial)