Quiz about Applying Properties of Operations on Complex Numbers to Solve Problems

Question 1

Find the polynomial equation with given zeros.

Accepted Answer

x³+x²+4x+4

Answer

x³-x²+4x+4

Answer

x³-x²-4x+4

Answer

x³+x²+4x-4

Question 2

One solution to the equation $$x^2+px+q=0$$ is x = 1 + 4i. You determine the factored form to be

Accepted Answer

$$x^2-2x+17=0$$

Answer

$$x^2-2x+1-16i^2=0$$

Answer

17

Answer

$$x^2+2x+1+8xi+4i-16i^2=0$$

Question 3

If 2i is a root, then

Accepted Answer

-2i is also root

Answer

2i repeats twice

Answer

1-2i is also a root

Answer

0+2i is also a root

Question 4

Write in factored form using the following roots.

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 5

(2i) + (1 -2i)

Accepted Answer

1

Answer

2 - 3i

Answer

-1

Answer

3 - 2i

Question 6

(1 -i) + (-1 + i)

Accepted Answer

0

Answer

2 - 3i

Answer

3 - 2i

Answer

2 + 3i

Question 7

Find the sum.
(5-2i) + (-7+8i)

Accepted Answer

-2+6i

Answer

12+6i

Answer

-35-16i2

Answer

-35 -16i

Question 8

Given $$i$$ is the imaginary unit, $$\left(2-yi\right)^2$$ in simplest form is

Accepted Answer

$$-y^2-4yi+4$$

Answer

$$y^2-4yi+4$$

Answer

$$-y^2+4$$

Answer

$$y^2+4$$

Question 9

(3 + 2i) + (3 + i)

Accepted Answer

3i + 6

Answer

-3i + 6

Answer

-3i -6

Answer

3i -6

Question 10

i79

Accepted Answer

-i

Answer

i

Answer

1

Answer

-1

Question 11

(1 -i) + (-1 + i)

Accepted Answer

0

Answer

2 - 3i

Answer

3 - 2i

Answer

2 + 3i

Question 12

(3 + 2i) + (3 + i)

Accepted Answer

3i + 6

Answer

-3i + 6

Answer

-3i -6

Answer

3i -6

Question 13

(2i) + (1 -2i)

Accepted Answer

1

Answer

2 - 3i

Answer

-1

Answer

3 - 2i

Question 14

Which of the following is equivalent to
(5-3i)+(-6+2i)?

Accepted Answer

-1-i

Answer

-1-5i

Answer

11-i

Answer

-30-6i

Question 15

Lisa wants to buy two new dresses from the mall. If one dress costs (59 - 6i) and the other costs (34 + 17i), how much money will she need to bring to the mall?

Accepted Answer

93 + 11i dollars

Answer

82 dollars

Answer

93 - 23i dollars

Answer

25 - 23i dollars

Question 16

$$\left(3-4i\right)+\left(2+5i\right)$$

Accepted Answer

5 + i

Answer

1 - i

Answer

5 - i

Answer

1 + i

Question 17

(3 + 5i) + (2 -i)

Accepted Answer

4i + 5

Answer

-4i -5

Answer

4i -5

Answer

-4i + 5

Applying Properties of Operations on Complex Numbers to Solve Problems

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