Multiplying, adding, and subtracting Polynomials

Vocabulary

100

How many terms are in a TRINOMIAL?

3

200

What is the number of the highest exponent in a quadratic equation?

2

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

Provide 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 operation are you using 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

What is the best method to use when multiplying polynomials?

Box Method

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 before combining like terms?

distribute the negative

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