Quiz about Polynomials Review

Question 1

f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.

Accepted Answer

x= -4, x=3, x=2

Answer

x= -4, x=3, x= -2

Answer

x=4, x= -3, x= -2

Question 2

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 3

Identify the zeros:

Accepted Answer

x=-2, x=0, x=1

Answer

x=-2, x=-1, x=0

Answer

x=-2, x=0

Answer

x=-1, x=0, x=2

Question 4

Question 4.

Accepted Answer

The function has an Odd degree

Answer

The function has an Even degree

Answer

The function has a Negative coefficient

Answer

The function has 3 real zeros

Question 5

Question 5.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 6

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

Accepted Answer

f(x) = (x+4)(x+1)²(x-2)(x-4)

Answer

f(x) = (x-4)(x-1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x+1)²(x+2)(x+4)

Answer

f(x) = (x-4)(x-1)²(x-2)(x+4)

Question 7

Question 7.

Accepted Answer

2

Answer

1

Answer

4

Answer

cannot be determined

Question 8

Question 8.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 9

Which of the following could be the equation of the graph in factored form?

Accepted Answer

y=-(x+1)(x-2)(x-4)

Answer

y=(x+1)²(x-2)
(x-4)³

Answer

y = x(x+1)(x-2)
(x-4)

Answer

y=(x+1)³(x-3)
(x-1)²

Question 10

Question 10.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 11

Which of the following MUST be true about
the graph shown.

Accepted Answer

It has a degree of
AT LEAST 5

Answer

It has a degree of
exactly 3

Answer

It has a degree of
AT LEAST 3

Answer

It has a degree
of exactly 5

Question 12

Which of the following allows you to describe the end behavior of a polynomial?

Accepted Answer

the degree and the leading coefficent

Answer

the degree and the constant

Answer

the leading coefficient and the constant

Answer

degree and the variable

Question 13

What are the zeros (x-intercepts)?

Accepted Answer

x = 2,-2,0

Answer

x = 2,-2

Answer

x = 2,0

Answer

x = -4,-2,2,0

Question 14

Is this polynomial ODD or EVEN?

f(x) = -7x³ + 11x⁵ - 4x⁶ + 113x

Accepted Answer

EVEN

Answer

ODD

Question 15

What are the zeros of the polynomial and state their multiplicity at each.
y = (x - 5)(x + 2)²

Accepted Answer

x = 5 multi 1, x = -2 multi 2

Answer

x = 5 multi 1,  x = 2 multi 2

Answer

x = -5 multi 2, x = -2 multi 1

Answer

x = 5 multi 2, x = -2 multi 1

Question 16

Which solution has a multiplicity of 2?

Accepted Answer

3

Answer

-1

Answer

1

Answer

none of them do

Question 17

$$q(x)=x^2(x-1)^2(2+x)$$
Determine the degree.

Accepted Answer

5

Answer

2

Answer

4

Answer

3

Answer

6

Question 18

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 19

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

Accepted Answer

-4, -1, 3

Answer

3, -3, 4, 1

Answer

4, 1, -3

Answer

3, -4, -1, 3

Question 20

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

Accepted Answer

7

Answer

4

Answer

2

Answer

1

Question 21

What is the likely degree of the polynomial that created this graph?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 22

The largest exponent determines the degree of the polynomial.

Accepted Answer

True

Answer

False

Question 23

What is another way to say "where a function crosses the x-axis"?

Accepted Answer

all of these.

Answer

x-intercept

Answer

zero

Answer

root

Question 24

What does multiplicity of a zero mean?

Accepted Answer

How many times the zero repeats

Answer

Look at the number of terms

Answer

Find the sum of all the coefficients

Answer

Ratio your x and y

Question 25

How many turning points does this polynomial have?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 26

What is the degree of this polynomial?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 27

What are the x-intercept(s)?

Accepted Answer

-1 and 2

Answer

1 and -2

Answer

-4

Question 28

The leading coefficient is ____________.

Accepted Answer

Negative

Answer

Positive

Answer

Zero

Answer

Cannot be determined

Question 29

Sketch a graph of a polynomial function that has the following characteristics.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 30

Sketch a graph with the following characteristics.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 31

In the above graph, which root has a multiplicity of 2?

Accepted Answer

-3

Answer

-1

Answer

-120

Answer

4

Question 32

Question 32.

Accepted Answer

Even Degree
- Leading Coeff.

Answer

Even Degree
+ Leading Coeff.

Answer

Odd Degree
- Leading Coeff.

Answer

Odd Degree
+ Leading Coeff.

Question 33

What is the leading coefficient of the polynomial?

2x⁴ + 9x⁵ - x³ + 9x² - 2

Accepted Answer

9

Answer

9x5

Answer

2x4

Answer

2

Question 34

Classify by the number of terms:
4r⁶ - 3r² - 8r⁴

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Answer

Polynomial

Question 35

Classify this polynomial by its degree and number of terms: x² + 6

Accepted Answer

Quadratic binomial

Answer

Linear polynomial

Answer

Quadratic trinomial

Answer

Cubic binomial

Question 36

Which polynomial is written in standard form?

Accepted Answer

9x³ + 8x²- 3x - 11

Answer

-3x + 8x² + 9x³ - 11

Answer

8x²+ 9x³ -11 - 3x

Answer

-11 - 3x + 8x² + 9x³

Polynomials Review

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