How to factor out the GCF to solve a quadratic for two solutions

The video tutorial explains how to solve quadratic equations by setting y or F(x) to zero. It introduces factoring, focusing on identifying the greatest common factor (GCF) and rewriting expressions as multiplication. The tutorial demonstrates using the distributive property to verify work and explains the zero product property, which states that if a product of two expressions equals zero, at least one of the expressions must be zero. The video concludes with solving equations using these methods.

What is the first step when solving a quadratic equation?

• Divide by the coefficient of x

• Multiply all terms by 2

• Add 5 to both sides

• Set y or f(x) to zero

What does GCF stand for in the context of factoring?

• Greatest Common Factor

• General Common Factor

• General Coefficient Formula

• Greatest Coefficient Factor

When factoring an expression, what should you do with the GCF?

• Add it to the expression

• Subtract it from the expression

• Divide each term by the GCF and place it outside the parentheses

• Multiply it by the expression

How can you verify if your factoring is correct?

• By setting the equation to zero

• By multiplying the GCF by the original expression

• By adding all terms together

• By using the distributive property

What does the zero product property state?

• If a product is zero, at least one of the factors must be zero

• If a product is zero, all factors must be zero

• If a product is zero, the equation has no solution

• If a product is zero, the factors are equal