Complex Numbers and Polynomial Factors

What is the value of i^2?

• i

• -i

• 1

• -1

Simplify the expression sqrt(-25).

• 5

• -5

• 5i

• -5i

What is the product of (2 - i) and (4 + 2i)?

• 10

• 6 - 2i

• 8 - 2i^2

• 8 + 2i^2

What is the primary purpose of multiplying the numerator and denominator by the complex conjugate when dividing complex numbers?

• To simplify the numerator.

• To make the denominator a real number.

• To change the sign of the imaginary part in the numerator.

• To convert the complex numbers to polar form.

Based on the Linear Factorization Theorem, how many linear factors does a polynomial of degree 'n' always possess?

• n real factors

• n unique factors

• n linear factors

• n imaginary factors