Quadratic Factoring Quiz

What is the first step in solving a quadratic equation by factoring?

• Set the equation equal to one

• Set the equation equal to zero

• Find the roots of the equation

• Multiply all terms by a constant

What should you do if there is a greatest common factor (GCF) in the equation?

• Add it to the equation

• Multiply it by the equation

• Divide the entire equation by the GCF

• Ignore it

In the factor by grouping method, what do you do after finding factors of ac whose sum is b?

• Set the equation equal to zero

• Combine like terms

• Set each factor containing a variable equal to zero

• Multiply all terms by a constant

When factoring by grouping, what should be true about the parentheses if the expression is factorable?

• They should contain only numbers

• They should be the same

• They should contain only variables

• They should be different

In the first example, what are the solutions to the quadratic equation?

• x = 1 and x = -1/4

• x = 2 and x = -1/2

• x = 3 and x = -1/2

• x = 2 and x = -1/4

What is the greatest common factor (GCF) in the second example problem?

• 3

• 5

• 2

• 7

In the second example, what are the solutions to the quadratic equation?

• x = 2 and x = -1/2

• x = 5 and x = -1/4

• x = 3 and x = -1/2

• x = 5 and x = -1/2

In the final example, what is the product of a and c?

• 12

• -18

• 18

• -12

What are the solutions to the quadratic equation in the final example?

• x = 2/3 and x = -1/3

• x = 1/2 and x = -2/3

• x = 3/2 and x = -1/3

• x = 2/3 and x = -1/2

What is the purpose of using the factor by grouping method?

• To simplify the equation

• To find the roots of the quadratic equation

• To eliminate variables

• To multiply the equation by a constant