Polynomials Review

Degree

100

What is the degree of this monomial?

-5a⁵b³c

9

200

What is the degree of this polynomial?

8x³y + 4x²y³ - 3xy

5

300

Classify the polynomial by its degree and number of terms.

4x³ + 7x⁴ - 2x²

quartic trinomial

400

Write in descending order in terms of a or b.

4a³b + 2a⁴b² - 3a²b³

2a⁴b² +4a³b - 3a²b³

-3a²b³ + 2a⁴b² + 4a³b

500

Write in standard form in terms of x.

3x²y² - 2xy³ + x³

x³ + 3x²y² - 2xy³

Add/Subtract

100

(a² - 6) + (16 - a + 2a²)

3a² - a + 10

200

(x² - 3x + 2) + (3x² - 2 + x)

4x² - 2x

300

(-2m + 1) - (4 - 6m)

4m - 3

400

(-3x³ - 5 + 4x) - (-6x + 8 + 2x³)

-5x³ + 10x - 13

500

(y² + 8y + 1) - (-6y + 14 + 5y²)

-4y² + 14y - 13

Multiply by a Monomial

100

3d²(-2cd)

-6cd³

200

(7m³n)²

49m⁶n²

300

-4a²(-3a + 6)

12a³ - 24a²

400

(6r³s²)(3r³s⁴)

18r⁶s⁶

500

4x²y⁴(4x²y² + 3x³y³)

16x⁴y⁶ + 12x⁵y⁷

FOIL

100

(x + 3)(x + 5)

x² + 8x + 15

200

(x - 8)(x + 6)

x² - 2x - 48

300

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

12x² + x - 6

400

(3a + 7b)(2a - 3b)

6a² + 5ab - 21b²

500

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

3x² + 2xy - 8y²

Divide/Factor

100

a²b⁴/ab³

ab

200

50x⁶y²z³/5x⁴z²

10x²y²z

300

(18w³ + 27w⁴)/(-9w²)

-2w - 3w²

400

Factor our the GCF.

12t⁶ - 6t³

6t³(2t³ - 1)

500

Factor out the GCF.

6m³n + 8m⁴n²

2m³n(3 + 4mn)