Polynomial Review

Combine Like Terms

100

Combine Like Terms

2x² + 4x - 5 - x² + 10

What is  x² + 4x + 5

200

Combine Like Terms

5a² - 6a + 3 - a² + 10a + 2

What is 4a² + 4a + 5

300

Combine Like Terms

-6a⁴ + 10x³ + a² - 10x³ + 4x - 3a²

What is -6a⁴ - 2a² + 4x

400

Combine Like Terms

-10x³y² + 5xy³ + 7x - 8x³y² + 3x - xy³

What is -18x³y² + 4xy³ + 10x

500

Combine Like Terms

4x(3x² - 2x) - 3x²(2x + 5)

What is 6x³ - 23x²

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3(2x)

6x

200

Multiply the Polynomials:

7x(2x + 2)

14x² + 14x

300

Multiply the Polynomials:

2x²(5x² + 10x + 11)

10x⁴ + 20x³ + 22x²

400

Multiply the Polynomials:

 3x²y(2x+3y+1)

6x³y + 9x²y² + 3x²y

500

Multiply the Polynomials:

4cd(d² - 4d + 3)

4cd³ - 16cd² +12cd

Dividing Polynomials

100

Divide the Polynomials:

(4n + 8) / 2

2n + 4

200

Divide the Polynomials:

(16x² - 12x + 8) / 4

4x² - 3x + 2

300

Divide the Polynomials:

(25s³ + 15s) / 5s

5s²  + 3

400

Divide the Polynomials:

(8h⁵ - 32h⁴ +16h³) / -8h⁴

-h + 4 - (2/h)

500

Divide the Polynomials:

(3x³y + 6x² y - 9x) / 3x²y

x + 2 - (3/y)