Operations with Polynomials

Adding

100

(-3x+1) + (2x + 4) 

-x + 5

200

(4x² + 5x - 1) + (3x² - 4x + 3) 

7x² + x + 2

300

(-x + 4x - 5) + (-x + 3x - 5) 

5x - 10

400

(-3x + 4) + (4x² + 5x - 6) 

4x² + 2x - 2

500

(3x³ + 4x² - x) + (2x² + 6x + 4x - 5) 

3x³ + 6x² + 9x - 5

Subtracting

100

(2x³-2x) - (x+4)

2x³ - 3x - 4

200

(3x⁴ - 3x² - 3x) - (4x² - 3) 

3x⁴ - 7x² - 3x + 3

300

(4x³ + 3x² - 4x) - (6x³ - 2x² + 7x)

-2x³ + 5x² - 11x 

400

(5x³ + 6x² - 2x) - (5x³ - 6x² + 2x) 

12x² - 4x 

500

(3x⁴ - 5x³ - 2x²) - (3x³ + 2x)

3x⁴ - 8x³ - 2x² - 2x

Multiplying

100

(3x + 1) (2x) 

6x² + 2x

200

3x² (4x + 4)

12x³ + 12x²

300

(2x - 4) (x + 5) 

2x² + 6x - 20 

400

(3x - 1) (3x + 1) 

9x² - 1

500

(4x + 4) (2x + 4) 

8x² + 24x + 16

Division

100

Divide using long division:

(x³+8x²+10x+21) / (x + 7)

x²+x+3

200

Divide using long division:

(12x³+38x²-16x-20) / (6x-5)

2x²+8x+4

300

Divide using long division:

(5x⁴+14x³+12x²+14x+12) / (x+2)

5x³+4x²+4x+6

400

Divide using synthetic division:

(10x³+27x²-6x+9) / (x+3)

10x²-3x+3

500

Divide using synthetic division:

(x³-13x²+25x+50) / (x-10)

x²-3x-5

Binomial Expansion

100

The second term in the expansion of (x + 1)⁴

What is 4x³

200

(2x + 4)³ expanded completely

What is 8x³ + 48x² + 106x + 64

300

The third term in the expansion of (3x² + 5)⁴

What is 1350x⁴

400

Expand (x+2y)⁵

x⁵+10x⁴y+40x³y²+80x²y³+80xy⁴+32y⁵

500

Expand (5x-4y)³

125x³-300x²y+240xy²-64y³