Solve by factoring out GCF

The video tutorial explains how to solve a quadratic equation by factoring. It begins with converting the equation to a standard form and identifying the greatest common factor. The tutorial then demonstrates factoring out the common factor and applying the zero product property to find the solutions. Finally, it shows how to isolate the variable N to determine the solutions to the equation.

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

• Find the roots of the equation directly.

• Multiply both sides by a constant.

• Convert the equation to a form where one side equals zero.

• Add a constant to both sides.

When factoring a quadratic equation, what should you look for first?

• The smallest coefficient.

• The greatest common factor.

• The highest power of the variable.

• The constant term.

Which numbers are the coefficients of the terms in the equation 6N^2 + 9N?

• 6 and 9

• 3 and 9

• 1 and 6

• 2 and 3

What is the zero product property used for in solving quadratic equations?

• To add the factors together.

• To find the greatest common factor.

• To set each factor equal to zero.

• To multiply the factors together.

What are the solutions to the equation after applying the zero product property?

• N = 3 and N = -3

• N = 1 and N = -1

• N = 0 and N = -3/2

• N = 0 and N = 3/2