Quiz about 2.5-2.6 Review

Question 1

The largest exponent determines the degree of the polynomial.

Accepted Answer

True

Answer

False

Question 2

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 3

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 4

What is the equation in factored form of this graph?

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 5

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 6

Question 6.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 7

Which solution has a multiplicity of 2?

Accepted Answer

3

Answer

-1

Answer

1

Answer

none of them do

Question 8

What is the correct graph of the function?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 9

Solve the following polynomial.

Resuelve el siguiente polinomio

$$0=x^3-3x^2-4x+12$$ (select all that apply)

Accepted Answer

$$x=\pm2$$

Accepted Answer

$$x=3$$

Answer

$$x=1$$

Answer

$$x=0$$

Question 10

Find the zeros

Encuentra los ceros.

. $$g\left(x\right)=3x^3-15x^2-72x$$ (select all that apply)

Accepted Answer

$$x=-3$$

Accepted Answer

$$x=0$$

Accepted Answer

$$x=8$$

Answer

$$x=-7$$

Answer

$$x=3$$

Question 11

How many zeros does the following function have?
f(x)= x⁵- 3x³ + x

Accepted Answer

5

Answer

8

Answer

9

Answer

3

Question 12

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 13

What is the degree of a polynomial that has roots of -2, 4i and -4i ?

Accepted Answer

3

Answer

4

Answer

1

Answer

2

Question 14

If 2i is a zero, then

Accepted Answer

-2i is a zero too

Answer

2i repeats twice

Answer

1-2i is a zero too

Answer

0+2i is a zero too

Question 15

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root.

Accepted Answer

3-5i

Answer

-3+5i

Answer

-3-5i

Answer

-5i

Question 16

Write in factored form using the following roots.

7, -2i

Accepted Answer

(x-7)(x+2i)(x-2i)

Answer

(x-7)(x-2i)

Answer

(x-7)(x+2i)

Answer

(x-7)(x+7)(x-2i)

Question 17

All zeros containing a square root sign comes in pairs.

Accepted Answer

True

Answer

False

Question 18

Write the equation of the quadratic

whose roots are -4, -2.

Accepted Answer

x2+6x+8

Answer

x2-6x+8

Answer

x2-4x-2

Answer

x2-2x-4

Question 19

Which of the following would be the correct factored form with roots 2, 5i, and 6?

Accepted Answer

(x-6)(x-2)(x+5i)(x-5i)

Answer

(x+6)(x+2)(x+5i)

Answer

(x-6)(x-2)(x-5i)

Answer

(x+6)(x+2)(x-5i)

Question 20

If a+bi is a root of a polynomial, then _______ is also a root.

Accepted Answer

a-bi

Answer

i2

Answer

a+bi

Answer

-i2

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