Divide and simplify: \$ (1 - 2i)/(3 + 5i) \$.

A) \$ -7/34 - 11/34 i \$

B) \$ 8/34 - 12/34 i \$

C) \$ 6/34 + 10/34 i \$

D) \$ 10/32 - 11/32 i \$

Simplify the complex fraction: \$ (8 + 9i)/(2 + 3i) \$.

A) \$ 47/12 + 7/12 i \$

B) \$ 43/13 - 6/13 i \$

C) \$ 33/14 + 5/14 i \$

D) \$ 31/10 - 9/10 i \$

Determine the quotient: \$ (3 + 7i)/(1 - 4i) \$.

A) \$ -27/18 - 19/18 i \$

B) \$ 22/17 + 29/17 i \$

C) \$ -25/17 + 19/17 i \$

D) \$ 29/18 + 13/18 i \$

Find the simplified form of: \$ (5 - 3i)/(4 + 2i) \$.

A) \$ 7/12 + 15/12 i \$

B) \$ 5/12 - 11/12 i \$

C) \$ 9/10 + 13/10 i \$

D) \$ 7/10 - 11/10 i \$

Compute the result of dividing: \$ (6 - 8i)/(3 - 4i) \$.

A) 1

B) 3

C) 7

D) 2

Calculate \$ (- 2 - 3i)/(- 1 + 2i) \$ and provide the result in standard form.

A) 0.8 - 1.4i

B) - 0.95 - 2.4i

C) - 0.8 + 1.4i

D) - 0.95 + 2.4i

Find the quotient of \$ (- 1 + 6i)/( 5 + i)\$.

A) \$ 1/-26 - 31/26 i \$

B) \$ 1/26 + 31/26 i \$

C) \$ 3/27 - 3/26 i \$

D) \$ 1/26i + 31/26 \$

If \$z_1 =1 + 2i\$ and \$z_2 = 3 − 4i\$, divide \$z_1 \$ by \$z_2 \$ and express the result in the form a+bi.

A) \$ - 1/5 + 2/5 i \$

B) \$5 + 2.5 i \$

C) \$ 1.5 + 2/5 i \$

D) \$ 1.5 + 2.5 i \$

Divide (4 + 5i) by (2 − i) and find the real and imaginary parts of the result.

A) Real part: \$3.5\$,
Imaginary part: \$14.5\$

B) Real part: \$3/5\$,
Imaginary part: \$14/5\$

C) Real part: \$2/3\$,
Imaginary part: \$5/14\$

D) Real part: \$5.3\$,
Imaginary part: \$5.14\$

Divide (2 − 3i) by (0 + i) and simplify the result.

A) 3 + 2i

B) 2 - 3i

C) - 3 - 2i

D) 2 + 3i