Exploring Operations with Complex Numbers

What is the result of adding 2x and -x?

• x

• 2x

• 0

• 3x

Why is the box method preferred over FOIL for multiplying complex numbers?

• It is faster

• It is more visual and flexible

• It is easier to remember

• It is the only method available

What is the value of i squared?

• i

• -1

• -i

• 1

How do you express the square root of a negative number?

• As a rational number

• As a complex number

• As an imaginary number

• As a real number

When are two complex numbers considered equal?

• When their magnitudes are equal

• When their imaginary parts are equal

• When their real parts are equal

• When both their real and imaginary parts are equal

What is the result of multiplying (2 - i) and (4 + 3i)?

• 11 + 2i

• 8 + 2i

• 8 + 6i

• 11 + 6i

What is the shortcut called that simplifies the multiplication of expressions like (a + b)(a - b)?

• Sum of squares

• Difference of squares

• Product of squares

• Quotient of squares

What is the complex conjugate of the complex number 5 - i?

• -5 - i

• -5 + i

• 5 - i

• 5 + i

Why do complex numbers not like to reside in the denominator?

• They make the equation unsolvable

• They make the equation complex

• They are undefined in the denominator

• They need to be rationalized

What does a negative discriminant indicate about the solutions of a quadratic equation?

• Two real solutions

• One repeated real solution

• No solutions

• Two complex solutions