Polynomial Fun

Standardize that Poly

100

Write in standard form: 3x + 4x² + 5

4x² +3x + 5

200

 4x² - 8x - 5x⁴ + 3x³ + 8x

-5x⁴ + 3x³ + 4x² 

300

4x² -3 + 8x² + 6x - 9 + 5x

12x² + 11x - 12

400

8x²y³ - 5xy + 3x³y + 4xy - 2x²y³ + xy

6x²y³ + 3x³y 

500

8x³ + 9y - 3y³ - 2y³ - 8y - 2x + 4y + x - 7x³ + x + xy

x³ -5y³ + xy + 5y

Classifying that Poly

100

4x³ + 3x - 1

Cubic trinomial

200

3x⁴ - 7x

Quartic binomial

300

4x² -3 + 8x² + 6x - 9 + 5x

Quadratic trinomial

400

8x²y³ - 5xy + 3x³y + 4xy - 2x²y³ + xy

Quintic binomial

500

8x²y⁵ + 9xy³ - 4xy - 4xy³ + 4xy - 5xy³

Monomial of 7th degree

Add those Polys

100

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

5x + 9

200

(3x² - 5x + 9) + (3x² + 4x - 5)

6x² - x + 4

300

(4x² - 7x + 9) + (-3x³ + 4x² + 7x)

-3x³ + 8x² + 9

400

(3x² + 7x - 9xy) + (-3x² - 8xy + 8y - x)

-17xy + 6x + 8y

500

(3x² + 9 - 4x) + (2x² - 8x + 5) + (4x³ + 12x - 14)

4x³ + 5x² 

Subtract those Polys

100

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

-x - 1

200

(3x² - 5x + 9) - (3x² + 4x - 5)

-9x + 14

300

(4x² - 7x + 9) - (-3x³ + 4x² + 7x)

3x³ -14x + 9

400

(3x² + 7x - 9xy) - (-3x² - 8xy + 8y - x)

6x² -xy + 8x - 8y

500

(3x² + 9 - 4x) - (2x² - 8x + 5) - (4x³ + 12x - 14)

-4x³ + x² + 16x -10

Find that Perimeter

100

A triangle with sides 3x + 5, 2x - 1, and 7x + 3

12x + 7

200

A triangle with sides x² + 4x - 9, 3x² - 3x + 8, and 2x² - 6x - 1

6x² -5x - 2

300

Rectangle with length 5x² - 6x + 4 and width 4x - 9 - 8x²

-6x² - 4x - 10

400

A triangle has sides with lengths 3x + 5 and 9x - 3.  Its perimeter is equal to 8x - 4.  Find the missing side

-4x - 6

500

A rectangle has a perimeter of 4x - 28.  The rectangle's length is 3x² - 8x + 3.  Find its width. 

-3x² + 10x - 17