Learn How to Find the Real and Complex Zeros from Factoring

The video tutorial covers solving equations by factoring, focusing on finding zeros and using the zero product property. It explains solving quadratic equations by taking square roots and introduces imaginary numbers, emphasizing their role in algebra. The tutorial also discusses complex zeros and their graphical representation, highlighting the difference between real and imaginary zeros.

What is the first step in finding the zeros of a polynomial by factoring?

• Use the quadratic formula

• Graph the polynomial

• Perform long division

• Set the polynomial equal to zero

When factoring a polynomial, what property allows you to set each factor equal to zero?

• Distributive Property

• Zero Product Property

• Associative Property

• Commutative Property

How do you handle the square root of a negative number?

• Rewrite it using imaginary units

• Use the quadratic formula

• Ignore the negative sign

• Convert it to a positive number

What is the imaginary unit 'i' defined as?

• The square root of 2

• The square root of 0

• The square root of -1

• The square root of 1

What is the multiplicity of a zero?

• The number of complex zeros

• The number of real zeros

• The degree of the polynomial

• The number of times a zero appears in a polynomial