Factoring Polynomials Review

Adding/Subtracting Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(-5x²+3x⁶+5) + (-5x⁶-5-3x²)

-2x⁶-8x²

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

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2x-6)²

4x² -24x +36

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 GCF

100

Factor out the GCF

30x-42

6(5x-7)

200

Factor out the GCF

5a³+2a² - 3a

a(5a² + 2a - 3)

300

Factor out the GCF

24x⁴y + 6x³y² - 18x²y³

6x²y(4x² + xy - 3y²)

400

Factor out the GCF

15mn³ - 8mn + 2n² - 10m³

The polynomial is completely factored

500

Factor out the GCF

18n⁴+42nm+6n

6n(3n^3+7m+1)

Factor Special Cases

100

Factor:

x² - 16

(x + 4)(x - 4)

200

Factor

x² - 22x + 121

(x - 11)²

300

Factor:

x² + 18x + 81

(x + 9)²

400

Factor:

4p² - 256

4(p+8)(p-8)

500

Factor:

5x³ + 30x² + 45x

5x(x + 3)²

Factoring a=1

100

Factor:

p² +12p +35

(p+5)(p+7)

200

Factor:

x² + 7x - 30

(x - 3)(x + 10)

300

Factor:

2x² - 10x - 12

2(x + 1)(x - 6)

400

Factor:

4x² + 12x + 8

4(x+1)(x+2)

500

Factor:

8m³+ 8m² - 48m

8m(m + 3)(m - 2)

Random Trivia

100

What is the longest river in the world

The Nile River

200

What Galaxy do we live in?

Milky Way Galaxy

300

What is the name of the process by which plants can make their own food?

Photosynthesis

400

For how long is an elephant pregnant? 

18 - 22 months

500

What do you called a group of flamingos

a Flamboyance