Polynomials & 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

Multiplying Polynomials

100

Multiply the Monomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(3m - 1)²

9m² - 6m + 1

400

Multiply the Polynomials:

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

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring by GCF

100

Factor:

16p⁴ + 4p³

4p³(4p + 1)

200

Factor out the GCF

5a³+2a²

a²(5a+2)

300

Factor:

63 + 45b

9(5b + 7)

400

Factor:

14a + 21a² + 21a³

7a(3a² + 3a + 2)

500

Factor out the GCF

9x⁶ − 63x³ − 90x²

9x²(x⁴ − 7x − 10)

More Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

400

Factor:

6v² + 66v + 60  

6(v + 10)(v + 1)  

500

Factor:

5v³ − 30v² + 40v

5v(v − 2)(v − 4)

Random!

100

Below is an example of a _________-degree ____nomial:

6xy-13x^2 y^2+9

fourth-degree trinomial

200

Which of the following is an example of a difference of squares? Select all that apply.

a. n^2 + 16    

b.   a^2-121

c.   25x^2-1

d.  n^3-25

b and c

300

Can this be factored more? Yes or no.

(x^2-3)(x^2-4)

Yes.

400

Factor: 

x^2-4

(x+2)(x-2)

500

Factor: 

16x^2-4

(4x+2)(4x-2)