4.Complex Numbers and Quadratic Equations Quiz

What is the algebraic form of a complex number?

• a / bi

• a * bi

• a - bi

• a + bi

Which law states that the sum of two complex numbers is also a complex number?

• Existence of Additive Identity

• Associative Law

• Commutative Law

• Closure Law

What is the multiplicative identity of a complex number?

• 1 + i0

• i

• 1

• 0 + i0

What is the result of (z1 - z2)^2?

• z1^2 - z2^2 + 2z1z2

• z1^2 - z2^2

• z1^2 + 2z1z2 + z2^2

• z1^2 - 2z1z2 + z2^2

Which law states that the product of two complex numbers is also a complex number?

• Existence of Multiplicative Identity

• Associative Law

• Commutative Law

• Closure Law

What is the result of (z1 + z2)^3?

• z1^2 + 3z1^2z2 + 3z1z2^2 + z2^3

• z1^3 + 3z1z2 + 3z1z2^2 + z2^3

• z1^3 + 3z1^2z2 + 3z1z2^2 + z2^3

• z1^2 + 3z1z2 + 3z1z2^2 + z2^2

What is the result of (z1 - z2)^3?

• z1^2 - 3z1^2z2 + 3z1z2^2 - z2^3

• z1^3 - 3z1^2z2 + 3z1z2^2 - z2^3

• z1^2 - 3z1z2 + 3z1z2^2 - z2^2

• z1^3 - 3z1z2 + 3z1z2^2 - z2^3

What is the result of z1^2 - z2^2?

• (z1 - z2)^3

• (z1 + z2)^2

• (z1 - z2)^2

• (z1 + z2) (z1 - z2)

What is the additive inverse of a complex number z?

• z + (-z) = -1

• z + (-z) = 0

• z + (-z) = 1

• z + (-z) = z

What is the multiplicative inverse of a complex number z?

• z,1/z = 0

• z,1/z = 1

• z,1/z = -1

• z,1/z = z