Polynomial Review

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:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

x(x + 5)

x² + 5x

300

Multiply the Polynomials:

(2x - 3)(x - 1)

2x² - 5x + 3

400

Multiply the Polynomials:

(y + 5)(y² + 2y - 6)

y³ + 7y² + 4y - 30

500

Multiply the Polynomials:

(4x - 1)(2x² +6x -3)

8x³ + 22x²-18x + 3

Dividing Polynomials

100

Write the following polynomial in standard form:

-5x² + x⁶ - x⁴ + x³ - 9 + 7x

x⁶ - x⁴ + x³ - 5x² + 7x - 9

200

Divide the polynomials:

(x² + 3x - 4) / (x - 1)

(x+4)

300

Divide the polynomials:

(a² + 14a + 40) / (a + 4)

(a+10)

400

Divide the polynomials:

(12x² - 7x - 12) / (3x - 4)

(4x + 3)

500

Divide the polynomials:

(48x² - 18x - 3) / (8x + 1)

(6x - 3)

Special Polynomials

100

Multiply polynomials

(x - 5)(x + 5)

x²  - 25  

200

Multiply Polynomials:

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

4x² - 9

300

Multiply Polynomials:

(x + 4)²

x² + 8x + 16

400

Multiply Polynomials:

(2x + 3)²

4x² + 12x + 9

500

Multiply Polynomials:

(3x - 4)²

9x² - 24x + 16