Learn to write the polynomial give two real zeros

The video tutorial explains how to determine a polynomial from given zeros, specifically 7 and 2. It covers the concept of zeros as X-intercepts and their role in forming polynomials. The tutorial guides through writing polynomials by setting zeros equal to zero, using the zero product property, and factoring. It demonstrates polynomial multiplication using the FOIL method and concludes with the final polynomial expression, emphasizing understanding the polynomial's significance in graphing.

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

• Points where the graph touches the y-axis

• Points where the graph crosses the x-axis

• Points where the graph is at its maximum

• Points where the graph is at its minimum

How do you begin writing a polynomial from its zeros?

• Set the zeros equal to zero

• Multiply the zeros by two

• Set the zeros equal to one

• Divide the zeros by two

What property is used to express zeros in factored form?

• Distributive property

• Associative property

• Commutative property

• Zero product property

Which method is used to expand the polynomial from its factors?

• FOIL method

• Substitution method

• Box method

• Graphing method

What is the final polynomial expression when the zeros are 7 and 2?

• x^2 + 14x - 9

• x^2 - 9x + 14

• x^2 + 9x - 14

• x^2 - 14x + 9