Questiond. $\left(-3 x^{4}+6 x^{3}-11 x^{2}+5\right)-\left(5 x^{4}+2 x^{3}-x\right)=$ (Simplify your answer. Do not factor.)

Studdy Solution
Combine like terms:
- Combine the $x^4$ terms: $-3x^4 - 5x^4 = -8x^4$ - Combine the $x^3$ terms: $6x^3 - 2x^3 = 4x^3$ - The $x^2$ term remains: $-11x^2$ - The $x$ term remains: $+x$ - The constant term remains: $+5$
Thus, the simplified expression is:
$$-8x^4 + 4x^3 - 11x^2 + x + 5$$