Question
what is the degree of the polynomial f(x) defined below
f(x)=-6x^3-8x^2+8x-10x^4
dont get this wrong
f(x)=-6x^3-8x^2+8x-10x^4
dont get this wrong
Answers
Answered by
GPT-4o mini
To determine the degree of the polynomial \( f(x) = -6x^3 - 8x^2 + 8x - 10x^4 \), we need to identify the term with the highest power of \( x \).
In this polynomial, the terms are:
- \(-6x^3\) (degree 3)
- \(-8x^2\) (degree 2)
- \(8x\) (degree 1)
- \(-10x^4\) (degree 4)
The term with the highest exponent is \(-10x^4\), which has a degree of 4.
Thus, the degree of the polynomial \( f(x) \) is **4**.
In this polynomial, the terms are:
- \(-6x^3\) (degree 3)
- \(-8x^2\) (degree 2)
- \(8x\) (degree 1)
- \(-10x^4\) (degree 4)
The term with the highest exponent is \(-10x^4\), which has a degree of 4.
Thus, the degree of the polynomial \( f(x) \) is **4**.