Learn to solve a quadratic by the AC method of factoring

The video tutorial demonstrates how to solve a quadratic equation by factoring using various methods. It begins with identifying perfect squares and finding the greatest common factor (GCF). The instructor then applies the AC method to factor the quadratic equation and uses grouping to simplify the process. Finally, the zero product property is used to solve the factored equation, providing the solutions for the quadratic.

What is the first step in factoring a quadratic equation?

• Identify the perfect square trinomial

• Complete the square

• Use the quadratic formula

• Find the greatest common factor

In the AC method, what do you do after multiplying the coefficients?

• Find two numbers that multiply to the product and add to the middle term

• Divide them by the smallest term

• Subtract them from the constant term

• Add them to the middle term

What is the purpose of breaking down the middle term in the AC method?

• To eliminate the constant term

• To prepare for factoring by grouping

• To simplify the equation

• To find the roots directly

What is the zero product property used for in solving quadratic equations?

• To rewrite the equation in standard form

• To solve for the roots of the equation

• To determine the vertex of the parabola

• To find the greatest common factor

When factoring by grouping, what should be done if the terms are not identical?

• Factor out a common term to make them identical

• Add a constant to make them identical

• Multiply by a coefficient to make them identical

• Ignore the terms and solve directly