Finding Zeros of Quadratic Functions by Factoring

This video tutorial teaches how to find the zeros of a quadratic function by factoring out the greatest common factor (GCF). It explains the concept of GCF, provides examples of factoring polynomials, and addresses common misunderstandings. The tutorial demonstrates finding zeros using the zero product property and checks solutions for accuracy.

What is the greatest common factor of the polynomial 20X^2 + 12X?

• 6X

• 4X

• 8X

• 2X

When factoring a polynomial, what is the first step in identifying the greatest common factor?

• Multiply the terms by a constant

• Add the terms together

• Divide each term by 2

• Look at the coefficients of each term

What does the zero product property state?

• At least one of the factors must be zero

• The sum of two factors is zero

• The product of two factors is always positive

• The difference of two factors is zero

What are the zeros of the function F(x) = 2X^2 + 4X?

• 0 and 2

• 0 and -2

• 2 and -2

• -2 and 2

If a polynomial's greatest common factor includes a variable, what can be said about one of its zeros?

• It will always be 0

• It will always be a positive number

• It will always be -1

• It will always be 1