How to Solve a Polynomial to a Higher Power by Raising the Power of Your Factors

The video tutorial covers the process of setting equations to zero and factoring them, focusing on trinomials and their conversion into binomials. It explains the zero product property for solving equations and discusses the concept of multiplicity of zeros in polynomials. The tutorial concludes with instructions for homework, emphasizing the importance of understanding these concepts for solving polynomial equations.

What is the first step in solving a polynomial equation according to the video?

• Set the equation equal to zero

• Find the derivative

• Integrate the equation

• Graph the equation

Why can't a GCF be factored out from all terms in the given polynomial?

• The polynomial is already simplified

• The terms are constants

• The terms are not divisible by the same number

• Not all terms have an X

Which two numbers multiply to 9 and add to -10 in the factoring process?

• 9 and 1

• -9 and -1

• -3 and -3

• 3 and -3

What property is used to solve the equation after factoring?

• Associative property

• Zero product property

• Distributive property

• Commutative property

What is the multiplicity of the zeros in the solved polynomial?

• 3

• 2

• 4

• 1