Polynomials Review

Vocabulary

100

How many terms are in a trinomial?

3

200

What is the DEGREE of 

2x⁴+9x⁵-5x²+6

5

300

Write an expression with 3 terms and a degree of 2

I'll check 

400

Name the following expression by number of terms AND degree

-x²-3x³+2

cubic trinomial

500

When (x-4) and (2x-3) are multiplied, what type of polynomial do we get as the product? and the degree? 

trinomial with degree of 2

Adding/Subtracting Polynomials

100

(3x²+4x) + (2x²-3x)

5x²+x

200

(2x-4) - (4x-4)

-2x

300

(-4x²+2x-3) + (5x²-4x+8)

x²-2x+5

400

Subtract 4x²-7x+9  from  6x²-5x+8

2x²+2x-1

500

Subtract (2x³-3x²+5x-5) from (6x³+4x²-4x+5) 

4x³+7x²-9x+10

Dividing Polynomials

100

(x³+7x²+13x+15) divided by (x+5)

x²+2x+3

200

2x⁴-2x³-19x²-24x-24 divided by x+2

2x³-6x²-7x-10-(4 / (x+2) )

300

8x³+20x²+10x+1 divided by 2x+1

4x²+8x+1

400

3x³-8x²+11x-3

x²-x+2+ (7 / 3x-5)

500

2x⁴-8x³-4x²+11x divided by x+1

2x³-10x²+6x+5 - ( 5/ (x+1) )

Multiplying Polynomials

100

7(2x+3)

14x+21

200

3x(2x-8)

6x²-24x

300

(-8x-2)²

64x²+32x+4

400

(6x-3)(6x²+4x-4)

36x³+6x²-36x+12

500

(x²+2x-6)(7x²-2x+7)

7x⁴+12x³-39x²+26x-42

End Behavior/Even Odd Functions

100

Graph parent function QUADRATIC 

Is this even, odd, or neither?

EVEN

200

Graph parent function CUBIC 

is this even, odd, neither?

ODD

300

What is the end behavior of 

                x²

(start with the left side)

as x --> NEG infinity y --> POS infinity 

as x --> POS infinity y --> POS infinity

400

Describe the end behavior (start with the left side first)

-x²+2x+2

as x --> NEG infinity y --> NEG infinity 

as x --> POS infinity y --> NEG infinity 

500

If parabola open down, what does this tell you about the function?

leading co-efficient is NEGATIVE