Solve and write the linear factorization using the sum of two cubes

What is the first step in finding the zeros of a cubic equation?

• Multiplying by a constant

• Taking the derivative

• Setting the equation to zero

• Finding the square root

When an expression is not factorable, which method can be used to find the zeros?

• Completing the square

• Using the quadratic formula

• Graphing the equation

• Applying the Pythagorean theorem

What is the result of simplifying the expression 3 ± sqrt(-27) / 2?

• 3 ± i sqrt(3) / 2

• 3 ± 3i sqrt(3) / 2

• 3 ± sqrt(3) / 2

• 3 ± 3 sqrt(3) / 2

How many imaginary zeros are found in the given cubic equation?

• Three

• None

• Two

• One

In the context of the video, what does 'I' represent when simplifying complex numbers?

• An integer

• An identity element

• An imaginary unit

• An irrational number

What is the purpose of linear factorization in solving equations?

• To simplify the equation

• To express solutions in a product form

• To find the derivative

• To eliminate complex numbers

What is the linear factorization form of the solution X = 3/2 + 3i sqrt(3)/2?

• X + 3/2 - 3i sqrt(3)/2

• X - 3/2 + 3i sqrt(3)/2

• X + 3/2 + 3i sqrt(3)/2

• X - 3/2 - 3i sqrt(3)/2