More on Polynomials

Terms, Factors, and Coefficients

100

Is 7 a trinomial?

No

200

Is y² + y a polynomial? 

Yes, it is a binomial

300

Is 5x⁴ - 3x² + 9 a binomial?

No, it is a trinomial 

400

Is 8xy² - 4 a polynomial?

Yes, it is a binomial

500

4x² + 9x + 4 is a what type of polynomial?

Trinomial

Collecting Like Terms

100

2m³ - 6m³

-4m³

200

2x - 4x³ - 24 - 6x³

2x - 10x³ -24

300

7m² - m - m² - 7

6m² - m - 7

400

8x²y² - y² + y³ - 1 - 4x²y²

4x²y² - y² + y³ - 1

500

3x⁵y⁴ - 6y⁵ - x⁵y⁴ +2y⁵

2x⁵y⁴ - 4y⁵

Degrees and Coefficients

100

What is the degree of the first term in 

8a⁴b² + 6a⁴b³+ 3ab + 7?

6

200

What is the degree of the second term in 

8a⁴b² + 6a⁴b³+ 3ab + 7?

7

300

What is the degree of the third term in 

8a⁴b² + 6a⁴b³+ 3ab + 7?

2

400

What is the degree of the fourth term in 

8a⁴b² + 6a⁴b³+ 3ab + 7?

0

500

What is the degree of the polynomial?

8a⁴b² + 6a⁴b³+ 3ab + 7?

7

Descending Order

100

Write in descending order x + 3x⁵+4x³

3x⁵+4x³+x

200

Write in descending order 5x²+6x⁷-2x⁴

6x⁷-2x⁴+ 5x²

300

Write in descending order 4x²-3+7x⁵+2x³-5x⁴

7x⁵-5x⁴+2x³+4x²-3

400

Write in descending order -14y+7x²y³-10x³y²-14x⁷

-14x⁷-10x³y²+7x²y³-14y

500

Write in descending order 3x + 3 + 4x⁷ - 4x⁶

4x⁷ - 4x⁶+3x + 3

Evaluating Polynomials

100

3x + 5 for x =6

23

200

2x²+7x+3 for x =2 

25

300

-4x -7 for x = 3

-19

400

-5x²+7x+10 for x=3

-14

500

2x²y + 5xy - 4 for x=-4 and y=5

56