Polynomial Race

Identify Coefficient

100

Give the coefficient of the 1st degree in this polynomial:

3a - 2

3

200

Give the coefficient of the 2nd degree in this polynomial:

x² + 5x - 1

1

300

Give the coefficient of the 3rd degree in this polynomial:

6a³ + 4a² + 5ab - a

6

400

Give the coefficient of the 0 degree in this polynomial:

x²y⁴ + 2x³y² +9xy - 6y + 17

17

500

Give the coefficient of the 8th degree in this polynomial:

a⁴b⁴ + 5a³b² + 7a²b - 8ab + a

1

Identify Degree

100

Give the degree of this polynomial:

2x - 18

1st degree

200

Give the degree of this polynomial:

 x⁵ + x³ + x² + x + 1

5th degree

300

Give the degree of this polynomial:

ab² + a²b³ − a⁵b

6th degree

400

Give the degree of this polynomial:

6x⁵ + 5x⁴ − 3x² + x⁷

7th degree

500

Give the degree of this polynomial:

12x²y³ + 6xy⁴z − 2xz+1

6th degree

Re-arrange Polinomials

100

Re-arrange this polynomial in order from highest degree to lowest degree:

x + 3 + 6x²

6x² + x + 3

200

Re-arrange this polynomial in order from highest degree to lowest degree:

−2a + 6 + 8a³

8a³ −2a + 6

300

Re-arrange this polynomial in order from highest degree to lowest degree:

6b² − 7b⁵ − 5b⁶

− 5b⁶ − 7b⁵ + 6b² 

400

Re-arrange this polynomial in order from highest degree to lowest degree:

−10 + 5xy + 3xy² + 2x²y² − y

2x²y² + 3xy² + 5xy − y − 10

500

Re-arrange this polynomial in order from highest degree to lowest degree:

ab − 2abc + 4a²b²c + 12 − 11c

4a²b²c − 2abc + ab − 11c + 12

Simplify Basic Polinomials

100

Identify this polynomial by combining 'like terms' and re-arrange it:

3x + 2x - 2

5x - 2

200

Identify this polynomial by combining 'like terms' and re-arrange it:

4x + 7x² - 3x² + 1

4x² + 4x + 1

300

Identify this polynomial by combining 'like terms' and re-arrange it:

-16 + -2c³ + 6c³ + 19c

4c³ + 19c - 16

400

Identify this polynomial by combining 'like terms' and re-arrange it:

6xy² + 6x³y + 6 + 6xy³ +6xy + 6x²y

The polynomial is already in simplest form.

500

Identify this polynomial by combining 'like terms' and re-arrange it:

-2a²b - 9 + 5ab + 12ab² - 2ab + 12a

12ab² - 2a²b + 3ab + 12a -9

OR -2a²b + 12ab² + 3ab + 12a -9

Simplify Longer Polinomials

100

Identify this polynomial by combining 'like terms' and re-arrange it:

3a³ − 9b² − a³ + 8c − 8b²

2a³ − 17b² + 8c

200

Identify this polynomial by combining 'like terms' and re-arrange it:

−4x + 3x² − 7 + 9x − 12x² − 5x⁴

− 5x⁴ − 9x² + 5x − 7 

300

Identify this polynomial by combining 'like terms' and re-arrange it:

5a − 6a³ + 9 + 3a − a² − 4 − a³ + 3a²

−7a³ + 2a² + 8a + 5

400

Identify this polynomial by combining 'like terms' and re-arrange it:

8z + 2y + 9x − 9z − 3x + 2y − 4y − 6x + z

0

500

Identify this polynomial by combining 'like terms' and re-arrange it:

2a²j − 8 + 7a + 3j − 6d + 10 − 6a − 2a²j − 2j + 7d − 2

j + a + d   :)

OR any other combinations such as "a + d + j". Since all the terms in this polynomial are 1st degree, the order does not matter.