Factoring out a GCF then factoring using various methods

What is the first step in simplifying a quadratic equation?

• Add a constant to both sides

• Set the equation to zero

• Multiply all terms by a constant

• Divide all terms by the leading coefficient

When factoring a quadratic equation, why is it important to consider the greatest common factor (GCF)?

• To increase the degree of the polynomial

• To simplify the equation and make further factoring easier

• To change the sign of the coefficients

• To eliminate the constant term

In the AC method, what do you do after multiplying the coefficients 'a' and 'c'?

• Divide the result by the leading coefficient

• Find two numbers that multiply to the result and add to 'b'

• Subtract the result from the middle term

• Add the result to the constant term

What is the purpose of using the zero product property in solving quadratic equations?

• To find the maximum value of the equation

• To simplify the equation further

• To eliminate the variable

• To determine the roots of the equation

How do you solve for 'x' after applying the zero product property?

• Multiply both sides by the leading coefficient

• Add the constant to both sides

• Square both sides of the equation

• Use inverse operations to isolate 'x'