Finding Zeros of Quadratic Functions with Common Monomial Factors

This video tutorial teaches how to find the zeros of a quadratic function by factoring out a common monomial factor. It begins with an introduction to the concept of factoring and provides examples to illustrate the process. The tutorial explains how to set the factored form of a function equal to zero to find its zeros. It also discusses the importance of understanding the graphical representation of zeros and highlights common mistakes students make when factoring. By the end of the lesson, students will be able to identify zeros of quadratic functions using factoring techniques.

What is the common monomial factor in the expression 6X^2 + 9X?

• 9X

• 6X

• 3X

• 2X

When a function is set to zero, what must be true about its factors?

• The product of the factors must be non-zero

• Neither factor can be zero

• At least one factor must be zero

• Both factors must be zero

What is the zero of the function F(x) = x - 3?

• 0

• 3

• -3

• 1

In the factored form of a function, what does the factor 3X indicate about the zeros?

• There are no zeros

• The zero is at X = 3

• The zero is at X = 0

• The zero is at X = -3

What is the zero of the function 5X(2X - 3)?

• X = 5 and X = 3

• X = 5 and X = -3

• X = 0 and X = -3/2

• X = 0 and X = 3/2

What is a common mistake when finding zeros of a function like 2X^2 - 6X?

• Setting the function equal to 1

• Factoring incorrectly

• Ignoring the constant term

• Not factoring out the common monomial factor

What is the zero of the function -2X(X - 4)?

• X = 0 and X = 4

• X = 0 and X = -4

• X = 2 and X = 4

• X = 2 and X = -4