Polynomials

Standard Form

100

3x - 11 + 2x² + 7x³

7x³ + 2x² + 3x - 11

200

-5 - x - x²

-x² - x - 5

300

1 + x⁵ - 5x³ + x - 7x²

x⁵ - 5x³ -7x² + x + 1

400

2m²n³ - 3mn⁴ + 4m³n + 5m⁵n² - 6m⁴n⁵ + 7m⁶ - 8n⁶

7m⁶ + 5m⁵n² - 6m⁴n⁵ + 4m³n + 2m²n³ - 3mn⁴ - 8n⁶

500

2y - 3x + 15z

-3x + 2y + 15z

Classifying Polynomials

100

3x-10

Linear Binomial

200

3x⁴

Quartic Monomial

300

12x³ - 3x² + x - 11

Cubic Polynomial

400

x³ - x⁴ + x² + 3  + x

Quartic Polynomial

500

Simplify First: 2x - 3x² + 5x + 11 - 2x² - 3

Quadratic Trinomial

***DAILY TRIPLE***

Add/Subtract Polys

100

(2x - 4) + (3x -5)

5x - 9

200

(2x - 4) - (3x - 5)

-x + 1

300

(6x² - 5x) + (x - 5x² + 3)

x² - 4x + 3

***DAILY DOUBLE***

400

(3x² + 7x - 1) - (x² + 2x - 5)

2x² + 5x + 4

500

Subtract (2x - 5x² + 10) from (x² + 6x - 2)

6x² + 4x -12

GCF

100

14xy² + 28xy + 14x

14x

200

x³y - x²y² + 5xy³

xy

300

16xy² + 28xy + 8y

4y

400

18a³b²c - 9a²b³c² + 15ab⁴c³ - 45a²b²c

3ab²c

500

35x - 63xy² + 112y - 42x²y

7

Factored Form

100

14xy² + 28xy + 14x

14x(y²+2y+1)

200

x³y - x²y² + 5xy³

xy(x² - xy + 5y²)

300

16xy² + 28xy + 8y

4y(4xy + 7x + 2)

400

18a³b²c - 9a²b³c² + 15ab⁴c³ - 45a²b²c

3ab²c(6a² - 3abc + 5b²c² - 15a)

500

35x - 63xy² + 112y - 42x²y

7(5x - 9xy² + 16y - 6x²y)