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

Which of the following roots match the above polynomial:

Accepted Answer

-3,2i,-2i

Answer

-3,-1,4

Question 4

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 5

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 6

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

Accepted Answer

4

Answer

1

Answer

3

Answer

8

Question 7

What is the degree of the following polynomial that has 4 real roots and 2 complex roots?

Accepted Answer

6

Answer

4

Answer

2

Answer

8

Question 8

All imaginary roots comes in pairs.

Accepted Answer

True

Answer

False

Question 9

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 10

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

Accepted Answer

No

Answer

Yes

Question 11

What are the zeros of f(x) = x²+9x+14

Accepted Answer

-2, -7

Answer

2, 7

Answer

2, -7

Answer

-2, 7

Question 12

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 13

Write a cubic polynomial in standard form with roots 3 and 4i

Accepted Answer

x³-3x²+16x-48

Answer

x³-8x²-3x+52

Answer

x³+3x²+3x+1

Answer

x³+3x²-16x+48

Fundamental Theorem of Algebra

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