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

GCF

100

Factor the following polynomial using GCF

2x-4

2(x-2)

200

Factor the following polynomial using GCF

4x^2-4x

4x(x-1)

300

Factor the following polynomial using GCF

2x^2-4x-10

2(x^2-2x-5)

400

Factor the following polynomial using GCF

3x^2y-12xy+18xy^2

3xy(x-4+6y)

500

Factor the following polynomial using GCF

-16x^3y^2-36x^3y^3-40xy^2

-4xy^2(8x^2+9x^2y+10)

Factoring Quadratics

100

Factor the polynomial

x^2+10x+25

(x+5)(x+5)

200

Factor the polynomial

x^2-4x+4

(x-2)(x-2)

300

Factor the polynomial 

x^2-5x-14

(x-7)(x+2)

400

Factor the polynomial 

x^2+11x+24

(x+8)(x+3)

500

Factor the polynomial 

x^2-28x-29

(x-29)(x+1)