Polynomial Operations

Adding Polynomials

200

(x + 4) + (x - 3)

2x + 1

400

(x² - 5) + (x +1)

x² + x - 4

600

(2x³ - 3x + 1) + (x³ + 6x² - 2)

3x³ + 6x² - 3x -1

800

(x + 1) + (5x³ - x² + x - 4)

5x³ - x² + 2x - 3

1000

(2a³ - 6a² + 4a) + (-5a³ + 6a² - 10a)

-3a³ - 6a

Subtracting Polynomials

200

(5x + 3) − (2x + 1)

3x + 2

400

(7x² + 4x − 3) − (2x² + 6x − 5)

5x² - 2x + 2

600

(9x³ − 4x + 8) − (3x³ − 2x + 10)

6x³ − 2

800

(2x³ + 5x² − x + 4) − (−3x³ + 2x² + 7x − 1)

5x³ + 3x² − 8x + 5

1000

(4a⁴ − 2a³ + a² − 6) − (3a⁴ + 5a³ − 4a² + 2)

a⁴ − 7a³ + 5a² − 8

Multiplying: Monomials

200

3x ⋅ 4x

12x²

400

5a² ⋅ 2a³

10a⁵

600

(−6x²y) ⋅ (3x³y²)

-18x⁵y³

800

(2m³n²) ⋅ (−4m²n⁵)

-8m⁵n⁷

1000

(−3x⁴y³z) ⋅ (5x²y⁵z²)

-15x⁶y⁸z³

Multiplying: Binomials

200

(x + 3)(x + 2)

x² + 5x + 6

400

(x − 4)(x + 5)

x² + x - 20

600

(2x + 3)(x + 4)

2x² + 11x + 12

800

(3x − 5)(2x + 1)

6x² − 7x − 5

1000

(2x − 3y)(x + 4y)

2x² + 5xy − 12y²

Multiplying: Trinomials

200

(x + 1)(x² + 2x + 3)

x³ + 3x² + 5x + 3

400

(x + 2)(x² + x + 1)

x³ + 3x² + 3x + 2

600

(2x + 1)(x² + 3x + 2)

2x³ + 7x² + 8x + 2

800

(x − 2)(x² + 4x + 4)

x³ + 2x² − 4x − 8

1000

(2x + 3)(x² − x + 4)

2x³ + x² + 5x + 12