Algebra 1- Polynomial Review

Simplifying by Adding

100

( 2x³ - 5x² + x ) + ( 2x² + x³ - 1)

3x³ - 3x² + x - 1

200

( 3x² + x - 6 ) + ( x² + 4x + 10)

4x² + 5x + 4

300

( 6 x + 4) + ( x + 5)

7x + 9

400

( 4x² - 5) + ( 3x² -2 )

7x² + -7

500

( 10x² + 4x - 5 ) + ( -3x² +-2x -1)

7x² + 2x - 6

Simplifying by Subtracting

100

( 3x² + 5) - ( x² + 2)

2x² + 3

200

( x² - 3x + 4) - ( -x² + 5x + 1)

2x² - 8x + 3

300

( 4x² + 5 ) - ( -2x² + 2x - 4)

6x² - 2x + 9

400

( 4x² - 3x + 5) - ( 3x² - x - 8)

x² - 2x + 13

500

( 3x + 4) - ( 2x² - 6x + 5)

-2x² + 9x - 1

Simplifying by Multiplying

100

2x³ ( x³ + 3x² - 2x + 5)

2x⁶ + 6x⁵ - 4x⁴ + 10x³

200

( x - 4) ( 3x + 2)

3x² - 10x - 8

300

(x - 2) (3x + 4)

3x² - 2x - 8

400

(x+3) (x+2)

x² + 5x + 6

500

( 2x² + 5x - 1) (4x - 3)

8x³ + 14x² -19x +3

Vocabulary

100

How many terms does this polynomial have?

-5x⁴ + 9x³- 2x² + 8x - 7

5 terms

200

What is the degree of this polynomial

-2x² + 8x - 5x⁴

4

300

What is the leading coefficient of this polynomial

-2x² + 8x + 5x⁴

5

400

Write this polynomial in standard form, then name it! 

-2x² + 8x - 5x⁴

-5x⁴ - 2x² + 8x

4th degree trinomial

500

Give an example of a trinomial. 

answers vary