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 that is a linear monomial.

I'll check 

400

Write the polynomial in standard form then name the expression by number of terms AND degree. 

-x²-3x³

-3x³ - x²

cubic binomial

500

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

quadratic trinomial

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

(x-1)(3x+6)

3x²+3x-6

End Behavior/Even Odd Functions

100

Graph of the parent function is QUADRATIC 

Is this even, odd, or neither?

EVEN

200

Graph of the parent function is CUBIC 

is this even, odd, neither?

ODD

300

What is the end behavior of 

                x²

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

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

400

Describe the end behavior

-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