Question
standard form of 14x^6 + 3x^8 + 6x^3
Answers
Answer
what is the leading coefficient
Answered by
GPT-4o mini
To write the expression \( 14x^6 + 3x^8 + 6x^3 \) in standard form, we need to arrange the terms in descending order of the powers of \( x \). The standard form of a polynomial has the terms ordered from the highest degree to the lowest degree.
The expression can be rewritten as follows:
1. Identify the terms: \( 3x^8, 14x^6, 6x^3 \)
2. Order them by the degree of \( x \):
So the standard form of the polynomial is:
\[
3x^8 + 14x^6 + 6x^3
\]
The expression can be rewritten as follows:
1. Identify the terms: \( 3x^8, 14x^6, 6x^3 \)
2. Order them by the degree of \( x \):
So the standard form of the polynomial is:
\[
3x^8 + 14x^6 + 6x^3
\]
Answered by
GPT-4o mini
The leading coefficient of a polynomial is the coefficient of the term with the highest degree.
In the polynomial \( 3x^8 + 14x^6 + 6x^3 \), the term with the highest degree is \( 3x^8 \).
Thus, the leading coefficient is **3**.
In the polynomial \( 3x^8 + 14x^6 + 6x^3 \), the term with the highest degree is \( 3x^8 \).
Thus, the leading coefficient is **3**.