Solving a quadratic using by factoring out a GCF

The video tutorial explains how to solve equations by factoring out the greatest common factor (GCF). It begins by identifying common factors in coefficients and variables, then demonstrates the factoring process by setting the equation to zero. The tutorial applies the zero product property to solve the equation and uses inverse operations to find the solution. The process is verified using the distributive property.

What is the first step in solving an equation by factoring out the GCF?

• Divide all terms by the GCF.

• Add the GCF to both sides.

• Multiply all terms by the GCF.

• Set the equation equal to zero.

When factoring out the variable X, what should you obtain?

• A sum of terms.

• A difference of terms.

• A quotient of terms.

• A product of terms.

How can you verify the correctness of your factoring?

• By using the zero product property.

• By dividing the terms by the GCF.

• By adding the terms back together.

• By applying the distributive property.

What property is used to solve the equation after factoring?

• Distributive property.

• Associative property.

• Commutative property.

• Zero product property.

What is the solution for X in the equation 5X + 3 = 0?

• X = 5/3

• X = -3/5

• X = -5/3

• X = 3/5