1. What is the sum of the complex numbers: (−9−i)+(−5−i)?
A. −14−2i
B. −14+2i
C. 14−2i
D. 14+2i
2. What is the product of the complex numbers 8i and 5i?
A. 40
B. -40i
C. -40
D. 40i
3. The product(5+i)(5−i) is a real number, 26. What are the factors (5+i) and (5−i) called?
A. imaginary units
B. complex conjugates
C. imaginary numbers
D. complex numbers
4. What is the product of complex conjugates?
A. The product of complex conjugates is the same as the product of opposites.
B. The product of complex conjugates is a sum of two squares and is always a real number.
C. The product of complex conjugates is a difference of two squares and is always a real number.
D. The product of complex conjugates may be written in standard form as a+bi where neither a nor b is zero.
5. Which of the following expressions is equivalent to a^6+b^6
A. (a^3+ib^2)^2
B. (a^3+ib^2) (a^3-ib^2)
C. (a^3-ib^2)^2
D. (a^+b^2) (a^3-b^2)
1 answer
2. C. -40
3. B. complex conjugates
4. C. The product of complex conjugates is a difference of two squares and is always a real number.
5. D. (a^3+b^2) (a^3-b^2)