Identifying Zeros of Quadratic Functions

This video tutorial teaches how to identify the zeros of a quadratic function in standard form when the leading coefficient is greater than one. It covers the process of factoring the function, setting the factored form equal to zero, and finding the zeros. The tutorial also explains the general formula for finding zeros and highlights common mistakes students make. By the end, viewers will understand how to find zeros by factoring and recognize the importance of distinct factors.

What is the main focus of this lesson?

• Identifying zeros of quadratic functions with a leading coefficient of one

• Identifying zeros of linear functions

• Identifying zeros of quadratic functions with a leading coefficient greater than one

• Identifying zeros of cubic functions

What are the distinct factors of the expression 3x^2 + x - 4?

• x + 4 and x - 1

• 3 and 5

• 3x + 4 and x - 1

• x - 4 and x + 1

How do you find the zeros of a quadratic function in factored form?

• By graphing the function and finding the y-intercepts

• By setting the standard form equal to zero and solving for x

• By rewriting the function in standard form

• By setting the factored form equal to zero and solving for x

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

• x = 0

• x = 3

• x = -3

• x = 1

What are the zeros of the function 3x^2 + x - 4 when rewritten in factored form?

• x = 4/3 and x = -1

• x = -1 and x = 4/3

• x = -4/3 and x = 1

• x = 0 and x = 1

How can you visualize the zeros of a quadratic function?

• By looking at the x-intercepts on a graph

• By looking at the vertex on a graph

• By looking at the y-intercepts on a graph

• By looking at the axis of symmetry on a graph

What is the general formula for finding zeros in factored form ax - h and bx - k?

• x = h and x = k

• x = -h/a and x = -k/b

• x = h/a and x = k/b

• x = -h and x = -k

What is a common mistake when identifying zeros in factored form?

• Using the wrong formula

• Not factoring completely

• Using positive values instead of negative

• Using negative values instead of positive

What are the actual zeros of a function if students mistakenly identify them as negative two-fifths and negative three-halves?

• x = 2/5 and x = -3/2

• x = -2/5 and x = -3/2

• x = 2/5 and x = 3/2

• x = -2/5 and x = 3/2

What did you learn in this lesson about identifying zeros of quadratic functions?

• How to graph quadratic functions

• How to rewrite functions in standard form

• How to identify zeros by factoring when the leading coefficient is greater than one

• How to solve linear equations