Question
The polynomial of degree
, has a root of multiplicity 2 at
and a root of multiplicity 1 at
. The
-intercept is
.
Find a formula for
.
Find a formula for
Ask by Nichols Powers. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Bonus Knowledge
To find the polynomial
, we start by using the information about the roots. Since
is a root of multiplicity 2, we can express
as
where
is a constant that we need to determine.
Next, we use the given
-intercept, which occurs when
:
We know that this equals -19.2, so we can set up the equation:
Now, we can solve for
:
Now substituting
back into the polynomial formula, we have:
Expanding this, we can first expand
:
Now multiply this by
:
Finally, applying the constant
:
Therefore, the formula for
is: