When given a zero and complex zero write the polynomial function

The video tutorial covers complex numbers, focusing on their properties and the concept of complex conjugates. It explains the importance of complex conjugates in polynomials and demonstrates the application of the zero product property. The tutorial also covers the difference of two squares and introduces the box method for organizing polynomial multiplication.

What is the solution to the equation X^2 + 1 = 0?

• X = ±i

• X = ±2

• X = ±3

• X = ±1

What is the complex conjugate of a complex number a + bi?

• a - bi

• -a + bi

• a + bi

• -a - bi

If a polynomial has a complex root 3i, what must also be a root?

• -3i

• 3

• 0

• -3

What property is used to find the polynomial from its factors?

• Zero Product Property

• Distributive Property

• Commutative Property

• Associative Property

What is the result of multiplying a number by its complex conjugate?

• A quotient of squares

• A product of squares

• A difference of squares

• A sum of squares

What method can be used to organize terms when multiplying binomials?

• FOIL method

• Box method

• Both FOIL and Box methods

• Neither FOIL nor Box methods

What is the polynomial derived from multiplying (X - 3i)(X + 3i)(X + 1)?

• X^3 - X^2 + 9X

• X^3 + 9X^2 + X

• X^3 + X^2 + 9X

• X^3 + 9X^2 + 9