Algebra 1- Polynomial Review

Simplifying by Adding

100

-n³ + 6n³ - n³

4n³

200

( 3x² + x ) + ( x² + 4x)

4x² + 5x 

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

 -3xy²  -  x²y 

-4x²y

200

( x² + 4) - (x² + 5)

-1

300

( 4/3x² + 5x ) - ( -2/3x² + 2x)

2x² +3x

400

( 4x² - 3x + 5) - ( 3x² - x - 8)

x² - 2x + 13

500

3(3x²) - 2( 2x²) + 5(4x) - (-3x²) -x

8x² + 19x

Monomials

100

2x³ ( -5x³)

-10x⁶

200

( x - 4) ( 3x + 2)

3x² - 10x - 8

300

(x - 2) (3x + 4)

3x² - 2x - 8

400

1/3(24y²)(-2y)(y)

-16y⁴

500

Write an expression in standard form for the area of a rectangle with a length that is 7 cm longer than twice the width. 

x(2x+7)  =   2x²+7x

Miscallaneous

100

What is the degree of the monomial?

42mn

2

200

Name the leading coefficient:

18x - 24x²

-24

300

What is the degree of polynomial?

24x³ + 4x⁴y

5

400

Find the product:

(2x - 1)(2x+1)

4x²-1

500

What number makes the trinomial a perfect square trinomial? 

9m² + 12m + _____

4

Vocabulary

100

Write this polynomial in Standard Form

-2x² + 8x - 5x⁴

-5x⁴ - 2x² + 8x

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

Name the polynomial.

-2x -x²y + 6 

cubic trinomial

500

Name this polynomial

7 - 5x + 9x- 2x² + 8x  + 3x²

quadratic trinomial