Free Printable Sketching Polynomials in Factored Form Only

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Worksheets

Sketching Polynomials in Factored Form Only

Total questions: 53

Worksheet time: 45mins

Name

Class

Date

1.

If I plug y = 0 into a polynomial's factored form equation and solve, which feature am I finding?

a)

y-intercept

b)

x-intercept(s)

c)

Middle Behavior - Bounce / Cross

d)

End Behavior - Arrows

e)

None

2.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

3.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

4.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

5.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

6.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

7.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

8.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

9.

What is the Leading Coefficient?

*Write your answer as a NUMBER only!

(a)

10.

What is the Degree?

*Write your answer as a NUMBER only!

(a)

11.

What is the Degree?

*Write your answer as a NUMBER only!

(a)

12.

What is the Degree?

*Write your answer as a NUMBER only!

(a)

13.

What is the Degree?

*Write your answer as a NUMBER only!

(a)

14.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

15.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

16.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

17.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

18.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

19.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

20.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

21.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

22.

What is the y-intercept ( 0 , ? )

*Write your answer as a NUMBER only!

(a)

23.

What is the missing x-intercept
*Write your answer as a NUMBER only!

\left(1,0\right)\ \&\ \left(-4,0\right)\ \&\ \left(\ ?\ ,\ 0\ \right)

(a)

24.

What is the missing x-intercept
*Write your answer as a NUMBER only!

\left(-1,0\right)\ \&\ \left(3.33\ ,\ 0\right)\ \&\ \left(\ ?\ ,\ 0\ \right)

(a)

25.

What is the missing x-intercept
*Write your answer as a NUMBER only!

\left(\frac{1}{3},0\right)\ \&\ \left(-8\ ,\ 0\right)\ \&\ \left(\ ?\ ,\ 0\ \right)

(a)

26.

What is the missing x-intercept
*Write your answer as a NUMBER only!

\left(-4,0\right)\ \&\ \left(0\ ,\ 0\right)\ \&\ \left(\ ?\ ,\ 0\ \right)

(a)

27.

What is the missing x-intercept
*Write your answer as a NUMBER only!

\left(-1,0\right)\ \ \&\ \ \left(1.5\ ,\ 0\right)\ \&\ \left(\ 1.44\ ,\ 0\ \right)\ \&\ \left(\ ?\ ,\ 0\ \right)

(a)

28.

What is the missing x-intercept
*Write your answer as a NUMBER only!

\left(-2\ ,\ 0\ \right)\ \&\ \left(\ 0\ ,\ 0\ \right)\ \&\ \left(\ ?\ ,\ 0\ \right)

(a)

29.

Select all the polynomials with an

Even Degree and

Negative Leading Coefficient

a)

b)

c)

d)

e)

30.

Select all the polynomials with an

Odd Degree and

Negative Leading Coefficient

a)

b)

c)

d)

e)

31.

Select all the polynomials with an

Even Degree and

Positive Leading Coefficient

a)

b)

c)

d)

e)

32.

Select all the polynomials that have one or more multiplicities equal to 1

a)

b)

c)

d)

e)

33.

Select all the polynomials that have one or more even multiplicities

a)

b)

c)

d)

e)

34.

Select all the polynomials that have one or more odd multiplicities greater than 1

a)

b)

c)

d)

e)

35.

Select all the polynomials that must have a variable in the front of its

Factored Form equation

a)

b)

c)

d)

e)

36.

What is the the first step when solving:

-4x^{3\ }=\ 0

a)

Divide by -4 on Both Sides

b)

Cube Root Both Sides

c)

Add 4 to Both Sides

d)

Divide by 3 on Both Sides

e)

Subtract 3 on Both Sides

37.

In which set of work are you allowed to distribute like this?

a)

In Work A it's allowed, but in Work B its NOT!

b)

In Work B it's allowed, but in Work A its NOT!

c)

It's NOT allowed in Work A or Work B!

d)

It's allowed for Both

38.

Are you allowed to say that

\left(2x+3\right)^3\ =\ 8x^3+27

a)

No! There's terms missing so you must write it like $8x^{3\ }+...+27$

b)

Yes that's correct

c)

No! It's supposed to be $2x^3+27$

d)

No! It's supposed to be $6x^{3\ }+9$

e)

No! It's supposed to be $x^{2\ }+\ 27$

39.

$\left(2x\right)^{4\ }=\ \ \ ?$

a)

$2x^4$

b)

$x^4$

c)

$16x^4$

d)

$8x^4$

e)

$6x^4$

40.

$f\left(x\right)\ =\ -2\left(x-2\right)^?\left(x+1\right)^{12\ }$

Fill in the " ? " with a NUMBER only

to make this equation match this graph

(a)

41.

$f\left(x\right)\ =\ \ ?\ \left(x-5\right)^2\left(x+1\right)^{7\ }$

Fill in the " ? " with a NUMBER only
to make this equation match this graph

(a)

42.

$f\left(x\right)=\left(x-3\right)\left(x+2\right)^{?\ }\left(x-1\right)^{15}$

Fill in the " ? " with a NUMBER only

to make this equation match this graph

(a)

43.

$f\left(x\right)=\ \ ?\ \left(x-3\right)\left(x+2\right)^{4\ }\left(x-1\right)^5$

Fill in the " ? " with a NUMBER only

to make this equation match this graph

(a)

44.

Which equation could go

with this sketch?

a)

b)

c)

d)

45.

Which equation could go

with this sketch?

a)

b)

c)

d)

46.

Which equation could go

with this sketch?

a)

b)

c)

d)

47.

Which equation could go

with this sketch?

a)

b)

c)

d)

48.

Which equation could go

with this sketch?

a)

b)

c)

d)

49.

Which equation could go

with this sketch?

a)

b)

c)

d)

50.

Select all the sketches that contains all 3 types of middle behavior

a)

b)

c)

d)

e)

51.

Select all the sketches that contain infection points

a)

b)

c)

d)

e)

52.

If I plug x = 0 into a polynomial's equation and evaluate, which feature am I finding?

a)

y-intercept

b)

x-intercept(s)

c)

Middle Behavior - Bounce / Cross

d)

End Behavior - Arrows

e)

None

53.

What is the Degree?

*Write your answer as a NUMBER only!

(a)

Reset

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