Factoring Review

Adding/Subtracting Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Subtract the polynomials:

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

-2g + 2

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Factoring by GCF

100

Factor:

16p⁴ + 4p³

4p³

200

Factor out the GCF

5a³+2a²

a²

300

Factor:

63 + 45b

9

400

Factor:

14a + 21a² + 21a³

7a

500

Factor out the GCF

9x⁶ − 63x³ − 90x²

9x²

Factoring

100

Factor:

2p² +2p -28

2(p²+2-14)

200

Factor:

8z³ - 4z² - 24z

4z(2z² - z - 6)

300

Factor:

-30y⁴ - 20y³ - 10y²

-10y²(3y² + 2y + 1) or 10y²(-3y² - 2y - 1)

400

Factor:

6v² + 66v + 60  

6(v² + 11v + 10)

500

Factor:

5v⁶ − 30v⁴ + 40v³

5v³(v³ − 6v + 8)

Name the Polynomial

100

3x²-12x+9

Quadratic Trinomial

200

3x⁶

6th degree monomial

300

-10

Constant monomial

400

7x-5+2x+3x³

Cubic Trinomial 

500

-2 - 6x² + 7x³ - 3x² + 6x³ + 3x²

Cubic Trinomial