Find all the zeros using the difference of two cubes

The video tutorial explains the process of factoring a polynomial that resembles the difference of two cubes. It covers the steps to factor the expression, solve it using the quadratic formula, and simplify radicals. The tutorial also demonstrates how to write the linear factorization from the zeros of the polynomial, including handling imaginary numbers.

What is the cube root of 8?

• 1

• 2

• 4

• 3

In the difference of cubes formula, what is the sign of the middle term?

• Depends on the first term

• Alternates

• Always negative

• Always positive

What is the first step in solving a quadratic equation using the quadratic formula?

• Find the discriminant

• Factor the equation

• Set the equation to zero

• Simplify the radicals

How do you represent the imaginary unit in mathematics?

• i

• m

• k

• j

What is the result of dividing -2 ± 2i√3 by 2?

• -1 ± i√3

• -2 ± i√3

• 2 ± i√3

• 1 ± i√3

How do you write a zero as a factor in linear factorization?

• Subtract it from the equation

• Multiply by its conjugate

• Set it equal to zero

• Add it to the equation

What is the linear factorization of a polynomial with complex zeros?

• Real factors only

• Complex factors only

• Both real and complex factors

• No factors