How to determine a polynomial when given the zeros

The video tutorial explains how to find the zeros of a polynomial by setting it equal to zero and solving for X. It discusses the zero product property and demonstrates how to form a polynomial from given zeros using the FOIL method. The tutorial emphasizes understanding the relationship between zeros and X intercepts.

What are the zeros of a polynomial in relation to its graph?

• The points where the graph touches the y-axis

• The points where the graph crosses the x-axis

• The highest points on the graph

• The lowest points on the graph

Which property is used to find the zeros of a polynomial?

• Distributive Property

• Commutative Property

• Associative Property

• Zero Product Property

What is the first step in solving for zeros using the zero product property?

• Add the coefficients

• Multiply the terms

• Set the polynomial equal to zero

• Divide by the leading coefficient

What technique is used to multiply binomials to form a polynomial?

• Long division

• Cross-multiplication

• Completing the square

• FOIL technique

What is the polynomial function derived from the zeros 3 and -2?

• F(x) = x^2 + x + 6

• F(x) = x^2 - x - 6

• F(x) = x^2 - 3x + 2

• F(x) = x^2 + 3x - 2