Quiz about Fundamental Theorem of Algebra

Question 1

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

Accepted Answer

5

Answer

8

Answer

9

Answer

3

Question 2

The degree of the polynomial determines the number of roots.

Accepted Answer

True

Answer

False

Question 3

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 4

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

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 5

Which of these is a possible rational root of the polynomials?

x³ - 6x² - x + 30

Accepted Answer

-15

Answer

0

Answer

4

Answer

-9

Question 6

Which of the following roots match the above polynomial:

Accepted Answer

-3,2i,-2i

Answer

-3,-1,4

Question 7

What is the total number of roots for the following equation?
y = 4x⁶ - 12x⁵ - x⁴ + 2x³ - 6x² - 5x + 10

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 8

How many solutions does the polynomial f(x)=3x⁴ + 5x² - 6x have?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 9

Factor f(x)= x³ - 2x²-13x - 10 given that
(x - 5) is one factor.

Accepted Answer

(x - 5)(x + 2) (x + 1)

Answer

(x- 5)(x - 1)(x - 2)

Answer

(x - 5)(x + 2)(x - 2)

Answer

(x - 5)(2x - 13)

Question 10

The largest exponent determines the degree of the polynomial.

Accepted Answer

True

Answer

False

Question 11

All imaginary roots comes in pairs.

Accepted Answer

True

Answer

False

Question 12

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 13

Is (x-3) a factor of
(x³- 3x²+ 2x + 2)?

Accepted Answer

No

Answer

Yes

Question 14

What are the zeros of f(x) = x²+9x+14

Accepted Answer

-2, -7

Answer

2, 7

Answer

2, -7

Answer

-2, 7

Question 15

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 16

State the possible rational zeros for each function.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 17

State the possible rational zeros for each function.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 18

State the possible rational zeros for each function.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Fundamental Theorem of Algebra

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