Solving Quadratic Equations by Factoring

What is the first method introduced for solving quadratic equations?

• Using the quadratic formula

• Factoring

• Graphical method

• Completing the square

What should be done first when preparing a quadratic equation for factoring?

• Identify the a, b, c values

• Set the equation to zero

• Draw a graph of the equation

• Calculate the discriminant

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

• Greatest Common Factor

• General Coefficient Formula

• Geometric Cubic Function

• Graphical Conversion Feature

How do you determine the suitable factors for the equation when a*c is negative?

• Find factors that multiply to give a*c

• Find factors that add up to b

• Find factors that subtract to give b

• Find factors that multiply to give -b

What is the 'Quick Trick' used for in factoring quadratic equations?

• To solve the equation faster when a is not one

• To simplify the equation before factoring

• To set up binomials quickly when a equals one

• To graph the equation efficiently

What should be done after factoring the quadratic equation?

• Set each factor equal to zero

• Plot the factors on a graph

• Calculate the derivative

• Factorize again using a different method

What does setting a factor equal to zero help to find?

• The maximum value of the quadratic function

• The minimum value of the quadratic function

• The solutions or roots of the equation

• The coefficient values

What are the zeros of a function also known as?

• Coefficients

• X-intercepts

• Constants

• Derivatives

How are the solutions to the quadratic equation visually represented on a graph?

• As the inflection points on the graph

• As the points where the graph crosses the y-axis

• As the points where the graph touches the x-axis

• As the highest points on the graph

What is the significance of the factor x+2 in the context of the zeros of the function?

• It implies the function is non-factorizable

• It suggests the graph crosses the x-axis at x=-2

• It indicates the function has no real roots

• It shows the function has a maximum at x=2