How to Find the Zeros of a Polynomial by Factoring to the 4th Power

The video tutorial explains how to factor trinomials into binomials and solve polynomial equations using the zero product property. It covers finding solutions for polynomial equations and discusses the nature of these solutions, including real and irrational solutions. The tutorial also touches on graphing these solutions and understanding their representation as x-intercepts.

What is the main challenge when factoring the given trinomial in the video?

• Identifying the degree of the polynomial

• Factoring out a common factor

• Finding two numbers that add to 7 and multiply to 12

• Applying the zero product property

Which property is used to solve the polynomial equation after factoring?

• Associative Property

• Zero Product Property

• Distributive Property

• Commutative Property

What is the result of taking the square root of both sides of the equation X^2 = 4?

• X = 4

• X = ± 2

• X = ± 4

• X = 2

How many real solutions does the polynomial have according to the video?

• 4

• 3

• 2

• 5

Which of the following best describes the nature of the solutions obtained?

• All solutions are rational

• All solutions are complex

• All solutions are imaginary

• All solutions are real