Polynomial Review Jepardy

Classifying Polynomials

100

3a³

cubic monomial

200

-4

constant monomial

300

9k⁴ - 2k³

quartic binomial (or 4th degree binomial)

400

k² - 7k - 5k³ - 10

cubic polynomial

500

4v⁴ - 2v⁷

7th degree binomial

Adding Polynomials

100

(1 - 2k³) + (5k³ + 5)

3k³ + 6

200

(2x + 4x²) + (x - 4x²)

3x

300

(-2x² +12x³ + 3) + (-9x² - 8 + 6x³)

18x³ - 11x² - 5

400

(10n - 4n⁴ - 6n³) + (-6n⁴ - 11n⁵ + 4n)

-11n⁵ - 10n⁴ - 6n³ + 14n

500

(-4x - 9y⁴) + (9x + 2xy - 13y⁴) + (12xy - 12x²)

-22y⁴ + 14xy - 12x² + 5x

Subtracting Polynomials

100

(3+5v⁴) - (3v⁴ - 4)

2v⁴ + 7

200

(1 + 5x³) - (x² - 4)

5x³ - x² + 5

300

(14b⁵ - b⁴ - 9) - (-8b⁵ + 14 - 9b³)

22b⁵ - b⁴ + 9b³ - 23

400

(6n³ - 4n⁵ - 3n⁴) - (-3n⁵ - 11n³ - 9n²)

-n⁵ - 3n⁴ + 17n³ + 9n²

500

(-14 - 2n³ + 12n²) - (-10 + 11n³ - 13n²)

-13n³ + 25n² - 4

Multiplying Polynomials

100

3(8n + 7)

24n + 21

200

6m(3m² - 5m - 7)

18m³ - 30m² - 42m

300

(7n + 6)(7n + 4)

49n² + 70n + 24

400

(8b - 8)(5b - 7)

40b² - 96b + 56

500

(n + 5)(7n² - 2n + 5)

7n³ + 33n² - 5n + 25

Misc.

100

Write the polynomial in standard form:

8x² - 2x³ - 9 - 7x

-2x³ + 8x² - 7x - 9

200

Write the polynomial in standard form. Then, classify the polynomial by degree and number of terms:

6 + m

m + 6; linear binomial

300

Write the polynomial in standard form. Then, identify the leading coefficient:

-7 + n⁴ + 4n² + 5n

n⁴ + 4n² + 5n - 7; 1

400

Write the polynomial in standard form. Then, identify the degree of the polynomial:

6 + 7x³ - 3x²y²

-3x²y² + 7x³ + 6; degree 4

500

Write the polynomial in simplest form. Then, state the degree and number of terms. Finally, classify the polynomial by degree and number of terms.

4n² - n⁴ + 5

-n⁴ + 4n² + 5; degree 4, 3 terms; quartic (or 4th degree) trinomial