Solving Quadratics by Factoring Techniques

What is the first step in solving quadratic equations by factoring?

• Calculate the vertex

• Identify the coefficients

• Set the equation equal to zero

• Find the discriminant

What does GCF stand for in the context of factoring quadratic equations?

• General Common Factor

• Given Coefficient Factor

• General Coefficient Function

• Greatest Common Factor

In the factor by grouping method, what must the factors of AC sum to?

• The constant term

• The coefficient of x

• The coefficient of x squared

• The coefficient of B

What is the purpose of setting each factor containing a variable equal to zero?

• To identify the coefficients

• To simplify the equation

• To find the discriminant

• To determine the solutions of the equation

When factoring out the GCF in a quadratic equation, what is the next step after identifying the GCF?

• Add the GCF to each term

• Multiply all terms by the GCF

• Divide all terms by the GCF

• Subtract the GCF from each term

How do you determine which numbers to use for splitting the middle term in the AC method?

• Numbers that multiply to AC and add to B

• Numbers that divide AC and subtract from B

• Numbers that add to AC and multiply to B

• Numbers that subtract to AC and divide by B

What is the result of factoring out a common factor from a set of terms in a quadratic equation?

• A single variable

• A constant

• A binomial

• A trinomial

What does setting each factor equal to zero help to identify in the context of quadratic equations?

• The axis of symmetry

• The vertex of the parabola

• The roots or solutions of the equation

• The maximum value of the quadratic function

In the context of the AC method, what does 'AC' stand for?

• Product of coefficients of x^2 and constant term

• Aggregate Coefficients

• Adjacent Coefficients

• Added Coefficients

What is the significance of the factors being the same in the factor by grouping method?

• It is irrelevant to the factoring process

• It suggests the need for a different factoring method

• It indicates an error in calculation

• It confirms the equation is factorable