Polynomial Review

Standard Form and GCF

100

Find GCF and factor the polynomial: 

-6n³ - 4n² - 12

 -2(3n³ + 2n² + 6)

200

Factor the polynomial with GCF: 

15x⁵ - 20x⁴ + 5x³ - 5x²

5x²(3x³ - 4x² + x - 1)

300

Put in standard form: 

2x⁴ + x³ - 4x⁴ + 7 - 3x³ + 2x

-2x⁴ - 2x³ + 2x + 7

400

Put in standard form: 

5x³ + x⁴  - 8 + 6x² + 5x⁴ - 11 + x²

6x⁴ + 5x³ + 7x² - 19

500

Put in standard form: 

2x³ + 17x² - 33 + 9x⁴ + 33 - 2x³ - 9x⁴ - 17x²

0

Add/Subtract Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Combine the Polynomials:

(5v³+4v²) - (-5v³+2v⁴+7) + (6v-5v⁴)

-7v⁴+10v³+4v²+6v-7

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)²

4m²-4m+1

400

Multiply the Polynomials:

(8n+8)(-6n²+8n+5)

-48n³+16v²+104v+40

500

Multiply the Polynomials:

(-5n-7)(6n²-6n+8)

-30n³-12n²+2n-56

Factor Polynomials a=1

100

Factor

x² + 7x + 12

(x + 3)(x + 4)

200

Factor 

x² + x – 6

(x − 2)(x + 3)

300

Factor 

v² + v - 12

(v - 3)(v + 4)

400

Factor

x² – 9x + 20

(x − 4)(x − 5)

500

Factor 

m² - 15m + 50

(m - 10)(m - 5)

Factor Polynomial

100

Factor 

5x² + 3x - 2

(5x − 2)(x + 1)

200

Factor 

3x² + 11x - 14

(3x + 14)(x − 1)

300

Factor 

2b² - 9b - 56

(2b + 7)(b - 8)

400

Factor 

2x² - 11x - 21

(2x + 3)(x - 7)

500

Factor 

9x² + 15x + 4

(3x + 1)(3x + 4)