Factoring/GCF/Polynomials

Classifying and Standard Form

100

What is the name of a polynomial with only a single term?

monomial

200

When the highest exponent is raised to a power of three, what is the polynomial's degree?

Cubic/third degree

300

Put in standard form: 

2x³ + 17x² - 33 + 9x⁴

9x⁴ + 2x³ + 17x² - 33

400

What is the degree/type of this polynomial?

- 9x³ + - 8x

Cubic binomial or third degree binomial

500

Name this polynomial. (degree/type)

4x³ - 2+x⁷

7th degree trinomial

Add/Subtract Polynomials

100

Add the Polynomials

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

5x + 5

200

Subtract the polynomials:

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

-12h - 8

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

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

GCF

100

What is the greatest common factor of 

24x and 6x⁴

6x

200

What is the GCF of x⁴ - 24x² + 12x

x

300

Factor the GCF out of 

3x² + 12x

3x(x + 4)

400

Factor the GCF out of 

5x⁵+10x³ - 5x

5x(x⁴ + 2x² - 1)

500

Factor the GCF out of 

12x²y³ + 36xy + 24y

12y(x²y² + 3x + 2)

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

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

12n² + 13n - 4

500

Multiply the Polynomials:

(2d - 3)²

4d² - 12d + 9

Factor Polynomials

100

Factor 

5m² - 15m + 50m³

5m(m - 3 + 10m²)

200

Factor 

6v³ + v - 12v²

v(6v² + 1 - 12v)

300

Factor 

2b² - 10b - 56b⁵

2b(b - 5 - 28b⁴)

400

Factor 

15m² + 125m + 140

5(3m² + 25m + 28)

500

Factor 

18x² + 108x + 126x⁴

18x(x + 6 + 7x³)