Polynomials!!!

Vocabulary

100

How many terms are in a trinomial?

Three

200

What is the DEGREE of 2x⁴+9x³-5x²+6

4

300

How many terms are in this polynomial? 4y⁵+6xy-3x²

Three

400

Write an example of a polynomial with 4 terms and degree of 3.

Ms. K will check!

500

Like terms need to have...(two things!!)

1. Same variables 2. Same exponents

Adding Polynomials

100

(x+5)+(3x+9)

4x + 14

200

(3x²+4x)+(2x²-3x)

5x²+x

300

(-4x²+2x-3)+(5x²-4x+8)

x²-2x+5

400

(8x²-4x+3)+(7x²+2x-11)

15x²-2x-8

500

(5x³+4x²-2x+2)+2(2x³-2x²+x+5)

9x³+12

Subtracting Polynomials

100

(7x+4)-(5x+8)

2x-4

200

(6x²+4)-(3x²+5)

3x²-1

300

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

-6x

400

(6x²-5x+8)-(4x²-7x+9)

2x²+2x-1

500

(6x³+4x²-4x+5)-2(2x³-3x²+5x-5)

2x³+10x²-14x+15

Multiplying Polynomials

100

(3x+1)(2x+3)

6x²+12x+3

200

(2x-5)(3x+2)

6x²-4x-10

300

(2x-4)(3x²-6x+1)

6x³-24x²+26x-4

400

(2x²-4x+6)(x²+5x-2)

2x⁴+6x³-18x²+38x-12

500

The area of a rectangle is calculated by multiplying its length by its width. What is the polynomial (in its most simplified form) that represents the area of the rectangle with dimensions below: 

Width: 5xy +2y

Length: 3x - 4

15x²y-14xy-8y

Mixed Operations

100

Find the GCF of the Polynomial: 

280x⁵y³ - 60x⁴y²z² + 220x³y²z³

GCF: 20x³y²

200

Simplify: 27x⁵-18x³+6x² ÷  3x²

9x³-6x+2

300

Preform the indicated operation and simplify the result: 

-0.5(48x²+12x²y-72x) ÷ 6x

-4x-xy+6

400

The area of a triangle is: 5x²y² - 8xy

The height is: 2xy 

What is the base length of the triangle? 

base length: 5xy - 8

500

Factor the polynomial given below by removing the GCF: 

12xy³ - 18x²y + 6xy

1/2 points: GCF is 6xy

Full Points: 6xy(2y² - 3x + 1)