Algebra II: Quadratic Equations - Factoring (Level 3 of 10)

The video tutorial explains how to solve quadratic binomials by factoring. It begins with an example of solving a quadratic equation by setting one side to zero and factoring out the greatest common factor (GCF). The tutorial highlights common mistakes, such as dividing by a variable, which can lead to losing solutions. It then demonstrates the correct method of solving by factoring and applying the zero product property. The video concludes with a final example, reinforcing the steps to solve quadratic binomials effectively.

What is the first step in solving the equation 4X^2 + 6X = 0?

• Set one side of the equation to zero

• Add a constant to both sides

• Divide both sides by X

• Multiply both sides by 2

What is the greatest common factor (GCF) in the equation 4X^2 + 6X = 0?

• 2

• X

• 4X

• 2X

Why is dividing by X not a recommended method for solving quadratic equations?

• It assumes X is not zero, potentially losing a solution

• It makes the equation more complex

• It is a slower method

• It only works for linear equations

What is the correct approach to solve 5X^2 = 9X?

• Divide both sides by 5

• Subtract 9X from both sides and factor

• Add 9X to both sides and factor

• Multiply both sides by 9

What is the second solution for the equation 5X^2 - 9X = 0 after factoring?

• X = 0

• X = 5/9

• X = -9/5

• X = 9/5

In the equation 3X^2 + 2X = 7X + 5X^2, what should be done first?

• Divide by X

• Add 5X^2 to both sides

• Multiply by 2

• Subtract 5X^2 from both sides

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

• Divide by the greatest common factor

• Multiply both sides by a factor

• Apply the zero product property

• Add a constant to both sides