Perform the indicated operation and write your answer in standard form (4 - 5i) (12 + 11i).

A) (103 - i)

B) (103 + 16i)

C) (103 - 16i)

D) (103 + i)

Perform the indicated operation and write your answer in standard form (-3 - i) - (6 - 7i).

A) (-9 + 7i)

B) (-9 - 7i)

C) (6 - 7i)

D) (-9 + 6i)

Perform the indicated operation and write your answer in standard form (1 + 4i) - (-16 + 9i).

A) (17 - 17i)

B) (17 - 5i)

C) (15 - 5i)

D) (15 + 5i)

Perform the indicated operation and write your answer in standard form 8i(10 + 2i).

A) (-16 + 80i)

B) (-16 + 80)

C) (16 + 70i)

D) (-15 + 70i)

Perform the indicated operation and write your answer in standard form (-3 - 9i)(1 + 10i).

A) (87 - 39i)

B) (7 - 28i)

C) (7 + 28i)

D) (39 - 28i)

Convert each number to polar form \$ 6-6i sqrt(3) \$.

A) \$ 12( cos( -pi/3)) - i(sin(-pi/3)) \$

B) \$ 12( cos( -pi/3)) + i(sin(-pi/3)) \$

C) \$ 6( cos( -pi/4)) + i(sin(-pi/4)) \$

D) \$ 6( cos( -pi/4)) - i(sin(-pi/4)) \$

Convert each number to a rectangular form \$ 12 cis (7pi/6) \$.

A) \$ -2 sqrt(3) -2i \$

B) \$ -6 sqrt(3) -6i \$

C) \$ -2 sqrt(7) -5i \$

D) \$ -2 sqrt(3) + 2i \$

Calculate (3 + 2i) + (1 - 4i).

A) 4 - 3i

B) 3 - 4i

C) 4 - 2i

D) 2 - 4i

Solve \$ z^2 + 4z + 13\$ = 0 where z is a complex number.

A) (-3 + 2i) and (-3 - 2i)

B) (3 - 2i) and (3 + 2i)

C) (-2 + 3i) and (-2 - 3i)

D) (-1 + 2i) and (1 + 2i)

For each question, perform the indicated computations. Give answers in both polar and rectangular form \$ (18 cis (pi/3))(12 cis (5pi/6)) \$.

A) Polar Form: \$ 216 cis (7pi/6) \$
Rectangular Form: \$ 108 sqrt(3) - 108i \$

B) Polar Form: \$ 261 cis (7pi/6) \$
Rectangular Form: \$ -108 sqrt(3) - 108i \$

C) Polar Form: \$ 216 cis (7pi/6) \$
Rectangular Form: \$ -108 sqrt(3) + 108i \$

D) Polar Form: \$ 216 cis (7pi/6) \$
Rectangular Form: \$ -108 sqrt(3) - 108i \$