Given two complex zeros & a real write the equation of the polynomial

The video tutorial covers the concept of complex zeros and their conjugates, explaining how to set zeros to zero and simplify equations. It delves into understanding factors and their operations, particularly focusing on the difference of squares technique for factoring. The tutorial concludes with forming polynomials from binomials and trinomials, using multiplication and the box method to find the final polynomial expression.

What must be true if a polynomial has a zero with a negative imaginary part?

• It must have a zero with a larger real part.

• It must have a zero with a negative real part.

• It must have a zero with a positive imaginary part.

• It must have a zero with a smaller real part.

When simplifying expressions, what is the recommended order of operations?

• Right to left

• Top to bottom

• Left to right

• Bottom to top

What mathematical operation is primarily used in the FOIL method?

• Division

• Multiplication

• Subtraction

• Addition

What technique is used when the first and last terms are the same, but signs alternate?

• Sum of cubes

• Difference of squares

• Quadratic formula

• Perfect square trinomial

What does squaring a binomial produce?

• A linear equation

• A quadratic equation

• A perfect square trinomial

• A cubic equation

What method is used to find the area of each box in polynomial construction?

• Substitution method

• Graphing method

• Box method

• FOIL method

What is the final polynomial obtained in the video?

• F(x) = x^3 + 9x^2 + 8x + 30

• F(x) = x^3 - 9x^2 + 8x - 30

• F(x) = x^3 + 9x^2 - 8x + 30

• F(x) = x^3 - 9x^2 - 8x - 30