Question
In the polynomial
, what is the leading coefficient?
Ask by Ross Warner. in South Africa
Jan 04,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The leading coefficient is 3.
Solution
In the polynomial
, the leading coefficient is the coefficient of the term with the highest degree (the largest exponent of
).
Let’s break it down:
-
: Degree 5, coefficient is 3 -
: Degree 3 -
or : Degree 1 -
: Degree 0 (constant term)
The highest degree here is 5, and the coefficient of
is 3.
Answer: 3
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Extra Insights
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In the polynomial
, the term with the highest degree is
. Therefore, the leading coefficient is 3.
So, the leading coefficient is 3.