Solving Quadratics by Factoring Techniques

What is the first step in solving quadratics by factoring?

• Set the equation to zero

• Factor out the GCF

• Apply the zero product property

• Identify a and b values

What does the zero product property allow us to do?

• Multiply factors

• Set each factor equal to zero

• Subtract factors

• Add factors

In the first example, what was factored out initially?

• 3

• 2

• 1

• 5

What was the result of setting X plus 3 equal to zero in the first example?

• X = -3

• X = 3

• X = 2

• X = -2

In the second example, what was the GCF factored out?

• x

• 3

• 9x

• 3x

What is the solution when 3x is set to zero in the second example?

• X = -3

• X = 0

• X = 1

• X = 3

What special case was applied in the third example?

• Factoring by grouping

• Quadratic formula

• Sum of squares

• Difference of squares

What are the solutions found in the third example using the difference of squares?

• X = 13 and X = -13

• X = 13/2 and X = -13/2

• X = 6.5 and X = -6.5

• X = 2 and X = -2

In the fourth example, what method was used to factor the quadratic equation?

• Factoring by grouping

• Quadratic formula

• Sum of squares

• Difference of squares

What are the solutions for the equation in the fourth example after factoring by grouping?

• X = -1 and X = 1/5

• X = -2 and X = 1/2

• X = -2 and X = 1/5

• X = 2 and X = 1/5