Polynomials - Simplify & Factor

Adding Polynomials

100

Add the Polynomials

(2x² + 3x - 4) +(x² - 2x + 5)

3x² + x +1

200

Add the polynomials:

(3y³ - 2y² + y) + (5y³ + 4y² - 3y)

8y³ + 2y² - 2y

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:

3x(2x - 5)

6x² - 15x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factor by GCF

100

Factor by GCF:

30x-42

6(5x-7)

200

Factor by GCF:

5a³+2a²

a²(5a+2)

300

Factor by GCF:

7x²y³ - 8xy³ + 2x³y²

xy²(7xy - 8y + 2x²)

400

Factor by GCF:

3x(x - 7) - 4(x - 7)

(x - 7)(3x - 4)

500

Factor by GCF:

18x(x - 6)+ 5(6 - x)

(x - 6)(18x - 5)

Factor Quadratic Trinomials

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

2z² - 11z - 21

(2z+3)(z-7)

300

Factor:

w² - 9

(w - 3) (w + 3)

400

Factor:

4x² + 5x - 6

(4x - 3)(x + 2)

500

Factor:

14x² - 55x - 36

(2x-9)(7x+4)

Factor completely

100

Factor Completely: 

2x²+16x+30

2(x+5)(x+3)

200

Factor Completely: 

2x² + 50

2(x²+ 25)

300

Factor Completely: 

-5t² - 20t - 20

-5 (t+2)(t+2)

400

Factor Completely:

6x² + 120x + 600

6(x+10)(x+10) = 6(x+10)²

500

Factor Completely: 

12x³+48x²+21x

3x(2x+1)(2x+7)