Learn to write the equation of a quadratic polynomial when given two zeros

The video tutorial explains how to solve quadratic equations by setting factors equal to zero, rewriting them, and using the FOIL method to expand expressions. It also covers combining like terms to simplify the final expression. The process involves working backwards from the solutions, setting equations to zero, and applying algebraic techniques to reach the final answer.

Why do we set the factors of a quadratic equation equal to zero?

• To eliminate the variable

• To simplify the equation

• To determine the roots of the equation

• To find the maximum value of the equation

What is the purpose of using the FOIL method in expanding factors?

• To find the roots of the equation

• To simplify the equation

• To multiply the terms in a specific order

• To eliminate the variable

Which terms are multiplied first in the FOIL method?

• Inner terms

• Outer terms

• Last terms

• First terms

What is the final form of the quadratic equation after combining like terms?

• X^2 - 2X + 3 = Y

• X^2 + 3X - 2 = Y

• X^2 - 3X + 2 = Y

• X^2 + 2X - 3 = Y

Why is the 'Y' typically omitted at the end of the quadratic equation?

• It is unnecessary for solving the equation

• It is only used in specific cases

• It complicates the equation

• It is a convention to simplify notation