Divide. Write the answer in the form $a + b i$ . $\frac { 3 + 2 i } { 3 + i }$
A) $\frac { 5 } { 2 } + \frac { 3 } { 10 } i$
B) $6 - \frac { 3 } { 10 } i$
C) $\frac { 3 } { 2 } - \frac { 5 } { 2 } i$
D) $\frac { 11 } { 10 } + 6 i$
E) $\frac { 11 } { 10 } + \frac { 3 } { 10 } i$

Question

Quizplus · Accepted Answer

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator. Here, multiply by $3 - i$ to get $\frac{(3 + 2i)(3 - i)}{(3 + i)(3 - i)} = \frac{9 - 3i + 6i - 2}{9 + 1} = \frac{11 + 3i}{10} = \frac{11}{10} + \frac{3}{10}i$.

Divide Write the Answer in the Form a+bia + b ia+bi

Divide Write the Answer in the Form $a + b i$