Math Tutorial for Finding the Zeros of a Polynomial by Factoring

The video tutorial explains how to solve a quadratic equation by factoring. It begins with setting the equation to zero and factoring out the greatest common factor (GCF). The instructor then demonstrates solving the quadratic equation by factoring it into binomials and finding the zeros. The process involves identifying numbers that multiply to a specific value and add to another, leading to the solution of the equation.

What is the first step in solving an equation by factoring?

• Set the equation equal to zero

• Multiply all terms by a constant

• Add a constant to both sides

• Divide all terms by the highest coefficient

When factoring a quadratic equation, what should you look for first?

• The highest power of x

• The greatest common factor

• The coefficient of x

• The constant term

After factoring out the GCF, what is the next step in solving a quadratic equation?

• Multiply the equation by a constant

• Add the constant term to both sides

• Factor the remaining quadratic expression

• Combine like terms

What is the purpose of using the diamond method in factoring?

• To find the greatest common factor

• To eliminate the variable

• To simplify the equation

• To identify two numbers that multiply to the constant term and add to the middle term

What are the zeros of the equation after factoring and solving?

• 0 and 9

• 3 and 6

• 0 and 3

• 6 and 9