Master How to solve a quadratic equation with two terms by factoring out the GCF

This video tutorial demonstrates how to solve quadratic equations by factoring out the greatest common factor (GCF). It covers the zero product property and provides multiple examples, including handling coefficients, variables on different sides, and equations with fractions. The tutorial emphasizes the importance of setting equations to zero and checking solutions by multiplying back.

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

• Divide by the coefficient of x

• Multiply both sides by the GCF

• Add the terms on both sides

• Set the equation equal to zero

When factoring out the GCF, what should you look for between terms?

• The largest coefficient

• The smallest exponent

• A common factor

• The highest degree term

In the example X^2 - 56X = 0, what is the GCF that can be factored out?

• 56

• X

• 1

• X^2

How do you determine the common factor when coefficients are involved?

• Use the largest coefficient

• Ignore the coefficients

• Choose the smallest coefficient

• Find a number that divides all coefficients

What is the solution set for the equation 2X^2 + 3X = 0 after factoring?

• 0, 3/2

• 0, -1/2

• 0, -3/2

• 0, 1/2

What is a common mistake when dealing with variables on different sides of the equation?

• Taking the square root too early

• Dividing by the variable

• Adding the coefficients

• Multiplying by zero

How can you eliminate fractions in a quadratic equation?

• Multiply by the least common multiple

• Divide by the largest fraction

• Subtract the fractions

• Add the fractions together