Algebra Polynomials

Adding & Subtracting

100

Simpify:

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

5x + 5

200

Simpify:

(-3x² - 2) - (7x² - 5)

-10x² + 3

300

Simpify:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Simpify:

(x³ - 3x² + 3x) + 5x(2x² + 4x -2) 

11x³ +17x² -7x 

500

Simpify:

2x³(5x² + 2x) - 4x(x⁴ + 3x³)

6x⁵ - 8x⁴

600

Simpify:

3x²y(3xy + 5y) - x(4xy² - 10x²y²)

19x³y² +11x²y²

Vocabulary

100

What is a number and/or variable in a polynomial that is separated by an addition or subtraction sign?

A Term

200

The number before a variable within a term is called the...

Coefficient

300

Where is the leading coefficient?

The coefficient of the term with the degree.

400

The highest exponent on the variables in a polynomial determines the...

Degree of the polynomial

500

A cubic binomial with a LC of 5 and a constant of -4 is...

y = 5x³ - 4

600

y=-4x+1/3x^2+5

Classify, Identify degree, Identify LC, Identify constant.

Quadratic Trinomial

2

1/3

5

Random

100

Simplify:  

(5x^2)^3

125x⁶

200

How many terms are in:

4x^2y^5-15xy^3+16xy^2-10

4

300

(15x^5)/(20x^7)

3/(4x^2)

400

Simplify: 

((3x^5y)/(5x^2y^5))^2

(9x^6)/(25y^8)

500

(14x^2y^8)/(2x^-6y^3)

7x⁸y⁵

600

Find the product and rerwrite in scientific:

2.3 x 10⁴  * 8.5 x 10^-9

1.955x10^-4

Multiplying Polynomials

100

Simplify:

5x⁴(3x²)³ - 12x¹⁰

125x¹⁰

200

Simplify:

5x(-x³+4x)

-5x⁴+20x²

300

Given a rectangle has a length that is 4 more than triple the width. 

*Draw your picture

What is the perimeter (simplified)?

P = 8w+8

400

Given a rectangle has a length that is 4 more than triple the width. 

*Draw your picture

What is the area (simplified)?

A=3w² +4w

500

Simplify:

(x-2)(x+6)

x²+4x-12

600

Simplify:

2x(3x - 1)²

18x³ -12x²+2x

Simplify

100

Simplify:

x*x+x+x

x²+2x

200

(6x^4)^2

36x⁸

300

(2x+4)(7x-5) - 5x² - 4x

9x² + 14x - 20

400

Multiply the Polynomials:

(5x³- 5)(4x³ - 5)

20x⁶ -45x³+25

500

((2x)(x^2)+5x^3)/x^2

(7x)

600

(4^-2x^8)/x^2

x^6/16