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.
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