Ms. Cat's Polynomial Review

Polynomials by Degree and Terms

100

3x² - 6x + 2

2^nd degree or quadratic trinomial

200

4x - 6x³

3^rd degree or cubic binomial

300

8x⁶ - 2x¹⁰

10^th degree binomial

400

2x

Linear monomial

500

6xy - 2x²y² - 4y + 2

4^th degree polynomial

Adding Polynomials

100

(3x + 2) + (4x - 6)

7x - 4

200

(7x² + 2x - 5) + (x² - 2x + 5)

8x²

300

(2x³ + 3x² - 9) + (4x² - 2)

2x³ + 7x² - 11

400

(15x³ - 6x² + 100) + (3x³ + x² - 50)

18x³ - 5x² + 50

500

(25x² - 8x + 1) + 2x(3x - 5)

31x² - 18x + 1

Subtracting Polynomials

100

(3x + 2) - (4x - 6)

-x + 8

200

(7x² + 2x - 5) - (x² - 2x + 5)

6x² + 4x - 10

300

(2x³ + 3x² - 9) - (4x² - 2)

2x³ - x² - 7

400

(15x³ - 6x² + 100) - (3x³ + x² - 50)

12x³ - 7x² + 150

500

(25x² - 8x + 1) - 2x(3x - 5)

19x² + 2x + 1

Multiply Polynomials

100

3x⁴(5x⁶)

15x¹⁰

200

2x³(4x - 2)

8x⁴ - 4x³

300

(3x + 2)(4x - 6)

12x² - 10x - 12

400

(3x -1)(2x² - 6x + 5)

6x³ - 20x² + 21x - 5

500

(3x - 5y)²

9x² - 30xy + 25y²

Only if you are Brave!

100

What is the difference between a trinomial and a binomial?

Binomial- 2 terms

Trinomial- 3 terms

200

How do you divide polynomials?

You don’t

300

P1: X+1

P2: ?

P1*P2 = X^2+3X+2

Find P2.

x+2

400

What is the difference of squares identity?

a^2-b^2=(a+b)(a-b)

500

What is the name of the triangle used to help solve the binomial theorem?

Pascal's triangle