Polynomials - Simplify or Factor

Adding Polynomials

250

Add the Polynomials

(2x² + 3x - 4) +(x² - 2x + 5)

3x² + x +1

400

Add the polynomials:

(3y³ - 2y² + y) + (5y³ + 4y² - 3y)

8y³ + 2y² - 2y

700

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

1000

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

Subtracting Polynomials

250

Subtract the polynomials:

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

-2g + 2

400

Subtract the polynomials:

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

-12h - 8

700

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

1000

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

Multiplying Polynomials

250

Multiply the Polynomials:

3x(2x - 5)

6x² - 15x

400

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

700

Multiply the Polynomials:

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

12n² + 13n - 4

1000

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factor out GCF

250

Factor by GCF:

30x-42

6(5x-7)

400

Factor by GCF:

5a³+2a²

a²(5a+2)

700

Factor by GCF:

7x²y³ - 8xy³ + 2x³y²

xy^2(7xy - 8y + 2x^2)

1000

Factor by GCF:

16x^7y^4w^3-12x^3y^6w+4x^3y^4w

4x^3y^4w(4x^4w^2-3y^2+1)

Factor Quadratic Trinomials

250

Factor:

p² +2p -35

(p-5)(p+7)

400

Factor:

2z² - 11z - 21

(2z+3)(z-7)

700

Factor:

4x² + 5x - 6

(4x - 3)(x + 2)

1000

Factor:

14x² - 55x - 36

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

Factor completely

250

Factor Completely: 

x²+8x+15

(x+5)(x+3)

400

Factor:

w² - 9

(w - 3) (w + 3)

700

Factor Completely: 

5t² - 20t + 20

(5t-10)(t-2)

1000

Factor Completely:

3x² + 40x + 100

(3x+10)(x+10)