(x-1)(x-2)(x-3)(x-4)-24

asked by guest
on Sep 20, 2024 at 8:23 am



You asked:

Evaluate the expression: \(\left(x - 1\right) \cdot \left(x - 2\right) \cdot \left(x - 3\right) \cdot \left(x - 4\right) - 24\)

MathBot Answer:

Evaluated



\(\displaystyle \left(x - 1\right) \cdot \left(x - 2\right) \cdot \left(x - 3\right) \cdot \left(x - 4\right) - 24 = \left(x - 4\right) \left(x - 3\right) \left(x - 2\right) \left(x - 1\right) - 24 \)

Expanded

\[\left(x - 1\right) \cdot \left(x - 2\right) \cdot \left(x - 3\right) \cdot \left(x - 4\right) - 24 = x^{4} - 10 x^{3} + 35 x^{2} - 50 x\]

Factored

\[\left(x - 1\right) \cdot \left(x - 2\right) \cdot \left(x - 3\right) \cdot \left(x - 4\right) - 24 = x \left(x - 5\right) \left(x^{2} - 5 x + 10\right)\]

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