Write the equation of the polynomial given the zeros

The video tutorial explains how to find the zeros of a polynomial function, which are the same as the X intercepts. It demonstrates the process using an example, showing how to factor the polynomial and apply the zero product property. The tutorial also covers setting equations to zero and rearranging binomials for multiplication, highlighting shortcuts like the difference of squares. Finally, it combines terms to form the final polynomial function, addressing common mistakes and corrections along the way.

What are zeros in the context of polynomial functions?

• Points where the graph crosses the x-axis

• Points where the graph is at its maximum

• Points where the graph is at its minimum

• Points where the graph touches the y-axis

Which property is used to find zeros after factoring a polynomial?

• Commutative Property

• Associative Property

• Distributive Property

• Zero Product Property

What is the first step in finding zeros for the polynomial X^2 + 5X + 4?

• Use the quadratic formula

• Complete the square

• Factor the polynomial

• Graph the polynomial

How do you set up an equation for a given zero, such as X = -2?

• X * 2 = 0

• X - 2 = 0

• X / 2 = 0

• X + 2 = 0

What is the result of multiplying X + 2 and X - 2?

• X^2 + 4

• X^2 - 4

• X^2 + 2X

• X^2 - 2X

What is the final polynomial expression obtained in the video?

• X^5 - 4X^3 + 5X

• X^5 - 5X^2 + 4X

• X^5 - 5X^3 + 4X

• X^5 - 4X^2 + 5X

What mistake did the teacher correct in the final polynomial expression?

• Incorrectly combining X terms

• Incorrectly combining X^2 terms

• Incorrectly combining constant terms

• Incorrectly combining X^3 terms