Quiz sec 2 Key

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Mathematical Investigations III Poly Quiz

Sheets 1-8

Name __________________

No Calculator.

Show your work to receive full credit:

1 a

.

Complete the square on the following and give the vertex and zeroes of the parabola. Show your work.

y

 

2

x

2

4

x

3

Vertex: Roots:

y

 

2

x

2

4

x y

3

y

2

3

x

2

2

x

y

2

3

x

2

2

y

2(

x x

1)

2

2

1)

2

5

x

1

0

 

2(

x

1)

2

(

(

x x x

1)

2

5

2

5

2

5

2

So Vertex = ( 1, 5)

b. Sketch the parabola

y

 

2

x

2

4

x

3 below. Clearly indicate significant points. Label the scales on both axes. Neatness and accuracy count.

2. Given

IMSA

2

x

2

bx

4 . Find all values of

b

such that if the roots of this quadratic are complex.

SP 12

3. Write an equation (if possible) for the polynomial function which meets the following criteria: a. cubic, a single root of multiplicity one at

x

= 5 and no other

x

-intercepts. b. fourth degree with one root of multiplicity 3 and no other real roots. c. a fifth degree polynomial with a bounce point at

x

= 2, a pass through point at

x

 

1 , and no other

x

-intercepts.

4. Label each graph of a polynomial as having even degree (E) or odd degree (O). If the graph cannot be a polynomial label (N).

5. Sketch the graph of each polynomial. Label all intercepts. a.

2(

x

3)(

x

3)

2 b.

6. Label each as a polynomial (p) or not a polynomial (n): a.

x

3

3

x

2

4 b.

x

x

2 c.

3

x

3

3

4

x

2

3 d.

x

3

x

2

1

x

IMSA

 

2(

x

x

x

3)

SP 12

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