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Summative Test 1(2nd Q)

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

1. What is the standard of the polynomial function

 f(x)=x2–3x4+7x3−3f(x)=x^2–3x^4+7x^3-3  

a)

 f(x)=–3x4+x2+7x3−3f(x)=–3x^4+x^2+7x^3-3  

b)

 f(x)=–3x4+7x3+x2−3f(x)=–3x^4+7x^3+x^2-3  

c)

 f(x)=x4–3x3+7x2−3f(x)=x^4–3x^3+7x^2-3  

d)

 f(x)=x2–3x4+7x3−3f(x)=x^2–3x^4+7x^3-3  

2.

2. What is the degree and number of terms of the polynomial function

 f(x)=x2–3x4+7x2−3f(x)=x^2–3x^4+7x^2-3  ?

a)

linear monomial

b)

quartic trinomial

c)

cubic binomial

d)

quadratic binomial

3.

3. What is the leading coeeficient of the polynomial function

 f(x)=x2–3x4+7x3−3f(x)=x^2–3x^4+7x^3-3  ?

a)

positive

b)

negative

c)

no sign

d)

none of the above

4.

What is the end behavior of the graph of

 f(x)=x2–3x4+7x3−3f(x)=x^2–3x^4+7x^3-3  ?

a)

up-up

b)

down-down

c)

up-down

d)

down-up

5.

Degree and number of terms of

 f(x)=x2–4x3f(x)=x^2–4x^3  .

a)

linear monomial

b)

quartic trinomial

c)

cubic binomial

d)

quadratic binomial

6.

leading coefficient of

 f(x)=x2–4x3f(x)=x^2–4x^3  .

a)

positive

b)

negative

c)

no sign

d)

none of the above

7.

number of zeros of

 f(x)=x2–4x3f(x)=x^2–4x^3  .

a)

1

b)

2

c)

3

d)

none

8.

end behavior of the graph of

 f(x)=x2–4x3f(x)=x^2–4x^3  .

a)

up-up

b)

down-down

c)

up-down

d)

down-up

9.

standard form of

 f(x)=4xf(x)=4x  .

a)

 f(x)=4xf(x)=4x  

b)

 f(x)=4x + 0f(x)=4x\ +\ 0  

c)

 f(x)=2x + 2xf(x)=2x\ +\ 2x  

d)

 f(x)=3x + x + 0f(x)=3x\ +\ x\ +\ 0  

10.

leading coefficient of

 f(x)=4xf(x)=4x  .

a)

positive

b)

negative

c)

no sign

d)

none of the above

11.

number of zeros of

 f(x)=4xf(x)=4x  .

a)

1

b)

2

c)

3

d)

none

12.

end behavior of the graph of

 f(x)=4xf(x)=4x  .

a)

up-up

b)

down-down

c)

up-down

d)

down-up

13.

standard form of

 f(x)=4x2+6x+1−(2x2+1)f(x)=4x^2+6x+1-(2x^2+1)  .

a)

 f(x)=2x2+6x+2f\left(x\right)=2x^2+6x+2  

b)

 f(x)=2x2+6xf\left(x\right)=2x^2+6x  

c)

 f(x)=6x+2x2f\left(x\right)=6x+2x^2  

d)

 f(x)=6x2+6x+2f\left(x\right)=6x^2+6x+2  

14.

degree and number of terms of

 f(x)=4x2+6x+1−(2x2+1)f(x)=4x^2+6x+1-(2x^2+1)  .

a)

linear monomial

b)

quartic trinomial

c)

cubic binomial

d)

quadratic binomial

15.

leading coefficient of

 f(x)=4x2+6x+1−(2x2+1)f(x)=4x^2+6x+1-(2x^2+1)  .

a)

positive

b)

negative

c)

no sign

d)

none of the above

16.

number of zeros of

 f(x)=4x2+6x+1−(2x2+1)f(x)=4x^2+6x+1-(2x^2+1)  .

a)

1

b)

2

c)

3

d)

none

17.

factors of

 x3+3x2−28x?x^3+3x^2-28x?  

a)

x(x-4)(x+7)

b)

x(x+4)(x+7)

c)

x(x-4)(x-7)

d)

x(x+4)(x-7)

18.

Which is NOT a possible zero of 

 P(x)=x3–2x2+4x–3?P(x)=x^3–2x^2+4x–3?  

a)

1

b)

-1

c)

2

d)

-3

19.

How many possible real zeros does the polynomial function 

 P(x)=anx3−a(n−1)x2−4P(x)=a_nx^3-a_{\left(n-1\right)}x^2-4  have?

a)

Exactly 3         

b)

Exactly 1

c)

3 or 1

d)

No real zeros

20.

How many turning points does the graph of the polynomial function 

 P(x)=anx3−a(n−1)x2−4P(x)=a_nx^3-a_{\left(n-1\right)}x^2-4  have?

a)

3

b)

2

c)

at most 2

d)

at least 2

21.

If f(x) = ( x + 3) ( x – 2) (x-2). What are the zeros of the function?

a)

{ -3, 2}

b)

{ 3, 2}

c)

{ -3, 2 multiplicity of 2}

d)

none of the above

22.

What are the zeros of the function

 f(x)=x4−3x3+x2+3x−2?f\left(x\right)=x^4-3x^3+x^2+3x-2?  

a)

2,-1,1(2)

b)

1,-2,1(1)

c)

2,-1(2),2

d)

1,2,3,4

23.

How many turning points does the graph of P(x) = x(x-2)(x+3)(x-4) have?

a)

2

b)

3

c)

4

d)

5

24.

What kind of function is

 j(x)=(x−1)3(x+1)2(x+2)j\left(x\right)=\left(x-1\right)^3\left(x+1\right)^2\left(x+2\right)  ?

a)

positive odd

b)

positive even

c)

negative odd

d)

negative even

25.

What is the y-intercept of the function

 d(x)=(x−1)3?d\left(x\right)=\left(x-1\right)^3?  

a)

(-1,0)

b)

(0,-1)

c)

(-3,0)

d)

(0,-3)