(x ^ { 4 } +x ^ { 3 } -2x ^ { 2 } +mx+17) \div (x-1)

asked by guest
on Mar 26, 2025 at 8:52 pm



You asked:

Evaluate the expression: x4+x3−2x2+mx+17x−1\frac{{x}^{4} + {x}^{3} - 2 {x}^{2} + m x + 17}{x - 1}

MathBot Answer:

Evaluated



x4+x3−2x2+mx+17x−1=mx+x4+x3−2x2+17x−1\displaystyle \frac{{x}^{4} + {x}^{3} - 2 {x}^{2} + m x + 17}{x - 1} = \frac{m x + x^{4} + x^{3} - 2 x^{2} + 17}{x - 1}

Expanded

x4+x3−2x2+mx+17x−1=mxx−1+x4x−1+x3x−1−2x2x−1+17x−1\frac{{x}^{4} + {x}^{3} - 2 {x}^{2} + m x + 17}{x - 1} = \frac{m x}{x - 1} + \frac{x^{4}}{x - 1} + \frac{x^{3}}{x - 1} - \frac{2 x^{2}}{x - 1} + \frac{17}{x - 1}

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