Write the equation of the polynomial given the zeros

The video tutorial explains how to write a polynomial function given its zeros. It introduces the concept of reverse factoring, where zeros are converted into factors using the zero product property. The tutorial demonstrates the multiplication of binomials using the box method to derive the polynomial function. Finally, it presents the polynomial function and discusses naming it as F of X.

What is the initial step in writing a polynomial function when given its zeros?

• Graph the zeros

• Apply reverse factoring

• Use the quadratic formula

• Solve for X directly

Why do we set the factors equal to zero when finding a polynomial?

• To eliminate negative terms

• To find the maximum value

• To apply the zero product property

• To simplify the equation

What method is suggested for organizing the multiplication of binomials?

• The FOIL method

• The box method

• The substitution method

• The elimination method

What is the final polynomial function derived in the tutorial?

• F(x) = X^3 - 2X^2 + X + 6

• F(x) = X^3 + 2X^2 - X - 6

• F(x) = X^3 + X^2 - 2X - 6

• F(x) = X^3 - 3X^2 + 2X + 6

What is the purpose of naming the polynomial function as F(x)?

• To indicate it is a function of X

• To simplify the equation

• To match the graph

• To solve for Y