Polynomial Review- Martin

Standard Form

100

Put in standard form: 

-7n + 3n³

 3n³  - 7

200

Put in standard form: 

2x - 5x⁴ + 11

-5x⁴ + 2x + 11

300

Put in standard form: 

2x + x² - 4x³ + 7

-4x³ + x² + 2x + 7

400

Put in standard form: 

5x³ + x⁴  - 8 + 6x²

x⁴ + 5x³ + 6x² - 8

500

Put in standard form: 

2x³ + 17x² - 33 + 9x⁴

9x⁴ + 2x³ + 17x² - 33

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

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

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)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(2d - 3)²

4d² - 12d + 9

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)