# Lesson Worksheet: Roots of Quadratic Functions Mathematics

In this worksheet, we will practice solving quadratic equations by factoring.

Q1:

Given that is a quadratic function and is a root of the equation , what is the value of ?

Q2:

Find the solution set of in .

• A
• B
• C
• D
• E

Q3:

What are the zeros of ?

• A and
• B and
• C and
• D and
• E and

Q4:

Find the set of zeros of the function .

• A
• B
• C
• D
• E

Q5:

Which of the following is a solution for given the set of zeros of the function is empty?

• A
• B44
• C0
• D

Q6:

If a parabola intersects the -axis at two points, find the number of roots for the equation in .

• Aone
• Bzero
• Ctwo
• Dfour
• Ethree

Q7:

If a parabola touches the -axis at a single point, determine the number of roots in .

• Aone
• Btwo
• Cthree
• Dzero
• Efour

Q8:

If a parabola does not intersect the -axis, determine the number of roots in .

• Athree
• Bfour
• Cone
• Dzero
• Etwo

Q9:

Given the curve of the quadratic function does not intersect the -axis, determine . Recall that is the set of zeros of the function .

• A
• B
• C
• D
• E

Q10:

The following expressions are equivalent ways of writing the function .

Use expression 1 to find the value of when .

Identify the minimum value of using expression 2.

Identify the zeros of using expression 3.

• A, 3
• B5, 3
• C8, 15
• D,
• E5,

This lesson includes 9 additional questions and 81 additional question variations for subscribers.