How do you find the square of an imaginary number?
How do you find the square of an imaginary number?
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.
What is linear factorization?
A factored form of a polynomial in which each factor is a linear polynomial. Example: A linear factorization of 2×3 – 6×2 + 4x is 2x(x – 1)(x – 2).
Can you divide imaginary numbers real numbers?
Division of two complex numbers is more complicated than addition, subtraction, and multiplication because we cannot divide by an imaginary number, meaning that any fraction must have a real-number denominator.
How do you divide two complex numbers?
Divide the two complex numbers. When we write out the numbers in polar form, we find that all we need to do is to divide the magnitudes and subtract the angles. Likewise, when we multiply two complex numbers in polar form, we multiply the magnitudes and add the angles.
What is the sum of complex numbers?
Set of complex numbers is a super set of real numbers, and imaginary numbers. Sum of two complex numbers a+bi and c-bi will be a real number, but that is a subset of complex numbers. C= C1 + C2 = 10 which is a real number.
What is used to divide complex numbers?
To divide complex numbers, you must multiply by the conjugate . To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator. Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis. Step 3: Simplify the powers of i, specifically remember that i2= -1.
How do you solve synthetic division?
To solve a polynomial equation using synthetic division, we first use the rational roots theorem to determine the potential zeroes for factoring. After factoring, we can solve synthetic division polynomials by setting each of our factors equal to the other side of the equation and solving.
