Polynomials Harris

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

What is an example of a trinomial?

3 terms only

Addition

100

(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+3x+4

Additional Addition

100

(2m⁴ - 5m² - 6) + (- 5m² + 2m⁴ - 7)

4m⁴ - 10m² - 13

200

-4 + 5x³ - 4x - 2x³ + 2x + 3

3x³ -2x - 1

300

(-5x³ - 5 - 4x - 7) + (-3x - 2 - 2x³)

-7x³ - 7x - 9

400

(x+5) + (x-5)

2x

500

(2x+1) + (2x² + 2x - 9)

2x² + 4x - 8

Sub-Subtraction

100

What happens to the terms inside a parenthesis when a negative is just outside on the left?  - (xxxx)

All the signs change to the opposite sign

200

(2m4 - 5m2 - 6) - (- 5m2 + 2m4 - 7)

1

300

(-5x³ - 5 - 4x - 7) - (-3x - 2 - 2x³)

-3x³ - x - 10

400

(4x²+2x-5) - (-2x² - 4 -10x)

6x² + 12x - 1

500

(4x + 4 - 5x² + 4x³) - (3x³-2x²+x+3)

x³ - 3x²+ 3x + 1

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