Add & Subtract Polynomials

Polynomials rules

100

What are 3 rules it is not a polynomial

exponent can't be negative, fraction or variable

200

What does not change when adding or subtracting like terms?

The variable and exponent

300

What is the leading coefficient in a polynomial?

the first number when the expression is put in standard form.

400

When adding and subtracting polynomials what do you combine?

Like terms

500

What is a polynomial that has only two terms called?

A binomial 

Addition

100

(7x² + 5x³-6x+4) + (15x² - 7x + 5x³-6)

10x³⁺ 22x² - x -2

200

(9x + 9) + (-9x² - 8x + 6)

-9x² + x + 15

300

(-9x² - 4x - 1) + (5x + 10)

-9x² + x + 9

400

(7x² + x + 1) + (-6x² - 8x - 10)

x² - 7x - 9

500

(8x - 2) + (-3x² - 7)

-3x² + 8x - 9

Subtraction

100

(7x² + 5x³-6x+4) - (15x² - 7x + 5x³-6)

-8x²  + x + 10

200

(10x² + 9x - 8) - (9x² - 4)

x² + 9x - 4

300

(-x² - 4x + 1) - (2x² + 9)

-3x² - 4x - 8

400

(2x² - 4) - (-x² + 3x - 6)

3x² - 3x + 2

500

(-6x² - 10x + 4) - (8x² - 8x)

-14x² - 2x + 4

Distribution

100

What kind of math do you use when you distribute?

Multiplication

200

5(3x-2)

15x-10

300

-3(x-2)

-3x+6

400

4(2x+3)

8x+12

500

7x(2x-5)

14x²-35x

MATH FACTS

100

What are the rules for positive and negative numbers with multiplication?

If the signs are the same its positive. If they are different the answer is negative.

200

62-43

39

300

4x-3x+6x-8x

-x

400

-42+44=?

2

500

3x - (-4x)

7x