Algebra 3/4 delves into advanced algebraic concepts, including polynomial functions, rational expressions, and complex numbers.
Combine the real parts, then the imaginary parts. Easy!
Use the distributive property and remember \( i^2 = -1 \).
Multiply the numerator and denominator by the conjugate of the denominator to make the denominator real.
Complex number operations are used in signal processing, alternating current (AC) electricity, and more!
Engineers use complex numbers to analyze voltage and current, making sure our devices work safely and efficiently.
Adding \( (2 + 5i) + (3 - 2i) = 5 + 3i \).
Dividing \( \frac{1 + 2i}{3 - 4i} = \frac{(1 + 2i)(3 + 4i)}{(3 - 4i)(3 + 4i)} = \frac{11 + 10i}{25} \).
Learn to add, subtract, multiply, and divide with complex numbers.