Given three real zeros, learn how to write the equation of a polynomial

The video tutorial explains how to find solutions of a polynomial by identifying X intercepts and setting factors to zero. It discusses reversing the zero product property to find solutions and demonstrates multiplying factors using the distributive and box methods. The tutorial concludes with the final polynomial equation, highlighting the benefits of using the box method for organization and clarity.

What is the purpose of setting each factor equal to zero when finding polynomial solutions?

• To identify the X-intercepts or zeros

• To calculate the maximum value of the polynomial

• To find the Y-intercepts of the graph

• To determine the slope of the polynomial

Which method can be used to multiply factors to form a polynomial?

• The Pythagorean theorem

• The box method

• The quadratic formula

• The midpoint formula

What is the result of multiplying X by X using the distributive property?

• X

• X^3

• X^2

• 2X

What is a benefit of using the box method for polynomial multiplication?

• It helps organize terms and keeps calculations clear

• It automatically finds the roots of the polynomial

• It simplifies the polynomial to a linear equation

• It eliminates the need for factoring

What is the final polynomial expression obtained using the box method in the video?

• y = X^2 + 6X - 5

• y = X^3 + 6X^2 - 5X - 12

• y = X^3 - 6X^2 + 5X + 12

• y = X^2 - 6X + 5