Polynomials Review

Adding Polynomials

200

 solve 

( -2x + 5 ) + ( -4x² + 6x + 9 )

-4x² + 4x +14

300

Solve

 ( 2x³ + x² -5 ) + ( 2x + x³ )

3x³ + x² + 2x - 5

400

Solve

(4x² + 2x + 8 ) + ( 8x² + 3x +1 )

12x² + 5x +9

500

Solve 

( 5 - 2xy + x² + 7 ) + ( 3x² + 7 - 4xy )

4x² - 6xy + 19

Subtracting Polynomials

100

Solve

( 5x³ - 4x + 8 ) - ( -2 + 3x )

5x³ -7x + 10

200

Solve

( 3 - 5x + 3x² ) - ( -x + 2x² -4 )

x² - 4x + 1

300

Solve 

( 7x² -2x + 1 ) - ( 3x² + 4x - 7 )

10x² -6x + 8

400

Solve 

( 8xy + x³ - 6 ) - ( -10xy + 7 - 2x³ + 5x² )

3x³ -5x + 18xy -13

500

Solve 

4x - ( -4x³ + 11 ) - ( 2x + x³ ) + 7x

3x³ + 9x -11

Multiplying Polynomials

100

Solve

( x - 5 ) ( x + 2 )

x² -3x -10

200

Solve 

( 3x² -2 ) ( 3x² + 2 )

9x⁴ - 4

300

( x -2 ) ( x² - 10x + 2 )

x³ - 12x² + 22x - 4

400

Solve

( 3x + 5 ) ( x² - 10x + 2 )

3x³ - 25x² - 44x + 10

500

Solve

( 3x + 5 ) ( x² + 6x + 11 )

3x³ + 23x² + 63x + 55

Polynomial Vocabulary

100

What is the leading coefficient in this Expression?

3x - 2x³ + 5 + 6x² 

-2

200

What type of Polynomial is this Expression? 

 -6a + 3 - 9a²

Quadratic Trinomial

300

Make this Standard form into an Expression.

2x³ + 4x² -1

4x² + 2x³ -1

400

How would you make this Expression in Standard form? 

3x³ - 4x² + x⁴ -2

x⁴ + 3x³ -4x² -2