Question
- What are the roots of the function
?
or
or
There are no real roots
or
There are no real roots
Ask by Rodriquez Johnston. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The roots of the function
are
and
.
Solution
-
Write the function:
-
Set the function equal to zero to find the roots:
-
Apply the Zero Product Property, which implies that if the product of two factors is zero, then at least one of the factors must be zero. Set each factor equal to zero:
-
Solve each equation:
-
For
: -
For
:
-
-
The roots of the function are:
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg


Beyond the Answer
To find the roots of the function
, you set the equation equal to zero:
. This gives you the roots
and
, as these are the values that make each factor equal to zero.
In the realm of parabolas and their delightful curves, every quadratic function has roots that tell us where it kisses the x-axis. Here, by graphing
, you’ll see two x-intercepts representing the roots: the point (2, 0) and (-3, 0). These roots play a vital role in determining the function’s behavior!