Identifying and Writing polynomials in Standard Form
Simplifying Polynomials
Adding,Subtracting,
Multiplying and
Dividing Polynomials
Factoring Polynomials
Determine and Defining End Behavior
100

Name the polynomial by degree and number of terms.

−10k2 + 7

100

3x^2 – 5x^3 – x(2x^2 + 4x)

–x^2 – 7x^3

100

(2x3+3x2+12)+(7x3+4x2+3)

9x3+7x2+15

100

5z^2 + 3z + 4

Prime ( Can´t be factored )  

100
  • Which of the following could be the graph of a polynomial whose leading term is "–3x^4"?



200

Name the polynomial by degree and number of terms.

9v^7 + 7v^6 + 4v^3 − 1

200

5d^2 + 2d^2 – 8d^3 – (2d^2 + 5d)

–8d^3 + 5d^2 – 5d

200

(6x^2 + 6x + 2)(3x^2 + 5x + 7)

18x^4 + 48x^3 + 78x^2 + 52x + 14

200

xz - xw - yz + yw

( x-y) (z-w)

200
  • Describe the end behavior of f (x) = 3x7 + 5x + 1004


"Down" on the left and "up" on the right.

300

Write the polynomials in standered form. 

y= =3x^2 + 4x^5 - 3x^3 + 5x^2

300

2x(4x + 1)

8x ^2 + 2x

300

(8x^2 + 3x + 1)(3x^2 − 7x + 6)

24x^4 − 47x^3 + 30x^2 + 11x + 6

300

0.04w^2 + 0.28w + 0.49

( 0.2w + 0.7 )^2 

300

State the maximum number of turns the graph of each function could make. 

f (x) = −x^3 + 3x ^ 2 + 1


f (x) → −∞ as x → −∞

f (x) → +∞ as x → +∞

400

Write these polynomials in standered form 

y= 5y - 9- 2y^4 - 6y^3

400

(5x^ 3 + 8x - 8x^ 2 ) - (5x^2 - 8x^3 - 7x)

13x^3 - 13x^2 + 15x

400

(9y2-3y+1)-(2y2+y-9)

7y2-4y+10

400

1/81 - x^2 

(1/9 + x ) ( 1/9 - x )

400

Describe the end behavior of the function. 

f (x) = −x^5 + 4x^3 − 5x − 4

f (x) → +∞ as x → −∞ 

f (x) → −∞ as x → +∞

500

Write this polynomial in standered form. 

y= 8x- 3x^2 + x^4 - 4 

500

7x^ 4 + x - 2 - 7 - 5x^2 - 4x^4

3x^4 - 5x^2 + x - 9

500

(m2-7m-11) divided by (m-8)

m+1- 3/m-8

500

1/4x^2 - 5x + 25 

(1/2x - 5)^2

500

 Approximate the relative minima and relative maxima to the nearest tenth.

f (x) = −x^3 − 6x^2 − 9x − 4

Minima: (−3, −4) Maxima: (−1, 0)