Multiplying and Factoring Polynomials

Standard Form/Classifying

100

Classify the polynomial by the degree and number of terms:

2x

Monomial with a degree of 1

200

Classify the polynomial by Degree and Number of Terms

5a² - 6a

Binomial with a degree of 2

300

Classify the polynomial by Degree and Number of Terms

-6a⁴ + 10a³

Binomial with a degree of 4

400

Classify the polynomial by Degree and Number of Terms

-10k² + k +1

Quadratic Trinomial with a degree of 2

500

Classify the polynomial by Degree and Number of Terms

4xy⁴ - 9y⁶x² + 4x³ - 5x⁴y⁹ - 13x⁸

Polynomial with 5 terms

and a degree of 13

Factoring Polynomials

100

What is the GCF of this polynomial

12t⁵?+?20t³?+ 8t² + 16

2

200

Factor this polynomial

10xy – 15x²y²

5xy(2 - 3xy)

300

Factor this quadratic trinomial into factored form

3x² + 5x – 12

(3x - 4)(x + 3)

400

Factor this polynomial

12x⁶ + 27x⁵ + 60x⁴

3x⁴(4x² + 9x + 20)

500

Factor this polynomial

26x⁴y – 39x³y² + 52x²y³ – 13xy⁴

13xy (2x³ – 3x²y + 4xy² - y³)

Multiplying Polynomials

100

Multiply the Polynomials. 

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials. Write the answer in standard form.

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials. Write the answer in standard form.

(2m - 1)(2 + m)

2m² + 3m - 2

400

Multiply the Polynomials. Write the answer in standard form. 

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

500

Multiply the Polynomials, Write the answer in standard form.

(x² + 3x + 5)( -x² + 6x - 9)

-x⁴ + 3x³ + 4x² + 3x - 45

Permutations/factorials

100

How many permutations can you have

6!

720

200

If you have 5 different colored marbles in a bag, how many permutations can you have when you pick them

360

300

If you are making a garage code with numbers between 0-9 (you can use numbers more than once) but only taking 4 at a time, how many combinations can you have?

10,000

400

How many permutations can you make using this word: TRANSFORMATIONS

1,307,674,368,000

500

How many permutations can you have if you are spelling 5 letter words in the alphabet, without repeating any letters.

7,893,600

Special Products

100

Multiply the binomials.

(x-3)^2

x^2-6x+9

200

Multiply the binomials.

(4x^2+y)^2

16x^4+8x^2y+y^2

300

Multiply the binomials.

(r-3)(r+3)

r^2-9

400

Multiply the binomials.

(20j+1)(20j-1)

400j^2-1

500

Multiply the binomials.

(5g-7h)²

25g^2-70gh+49h^2