Polynomials

Vocabulary

100

How many terms are in a TRINOMIAL?

3

200

What is the sum of the exponents of the variables contained in a term?

Degree of the term

300

What is the name of this expression 2x-1

Binomial

400

Write this function in the correct order: 2x+3+4x²

What is 4x²+2x+3

500

What is an example of a trinomial?

3 terms only

Addition

100

Simplify 

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

-3x+13

200

When adding and subtracting polynomials what do you combine?

Like terms

300

What does not change when adding or subtracting like terms?

The variable and exponent

400

(2x²-7x+9)+(-3x²+4x-5)

-x²-3x+4

500

(12x-4x²-4) + (-4x²-9x+8)

-8x²+3x9+4

Multiplication

100

What kind of math do you use when you distribute?

Multiplication

200

4(2x+3)

8x+12

300

5(3x-2)

15x-10

400

(x+5)(x-5)

x²-25

500

(2x+1)²

4x²+4x+1

Multiplication cont.

100

4x³(2x⁴)

8x⁷

200

(x+6)(x+2)

x²+8x+12

300

(x+4)(x-5)

x²-x-20

400

(4x²+2x-5)(2x-4)

8x³-12x²-18x+20

500

(4x)(3x³-2x²+x+3)

12x⁴-8x³+4x²+12x

Subtraction

100

When subtracting polynomials what should you do the signs?

Turn the subtraction sign positive and change all the signs inside the parenthesis on the right side 

200

(4x-6)-(17x-10)

-13x+4

300

(3x³+10x²-4x-1) - (x³+7x²-5x-6)

2x³+3x²+x+5

400

(5x-4x²-2) - (4-7x-2x²)

-2x²+12x-6

500

(5x-3x²-2) - (-4x²+3x)

x²+2x-2