Add & Subtract Polynomials

Things to remember

100

What are the two methods for solving addition and subtraction?

Horizontal and Vertical

200

What does not change when adding or subtracting like terms?

The variable and exponent

300

What happens to the second polynomial (or the polynomial being subtracted) when subtracting polynomials?

The signs of the second polynomial change.

400

When adding and subtracting polynomials what do you combine?

Like terms

500

When evaluating a polynomial for a given variable value, follow the standard order of operations: Which is? 

PEMDAS

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