Polynomial Review

Adding Polys

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 Polys

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 Polys

100

Multiply the Polynomials:  (X+1)(X-5)

X²-4X-5

200

Multiply the Polynomials:

(x + 5)(2X-4)

2x²+6x-20

300

Multiply the Polynomials:

(2x - 3)(x - 1)

2x² - 5x + 3

400

Multiply the Polynomials:

(5x+7)(3x-1)

15x^2+16x-7

500

Multiply the Polynomials:

(x - 1)(2x² +6x -3)

2x³ + 4x² -9x + 3

Exponent Rules

100

Simplify:    (5x²y)(-3xy⁴)

-15x³y⁵

200

Simplify:   (4a²b⁵)(2a⁴b³c)

8a⁶b⁸c

300

Simplify:  (3x²y³)⁴

81x⁸y¹²

500

Simplify:

7x^2(2x^2-8)-5(x^2-2x+4)

14x^4-61x^2+10x-20

Special Polys

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