f(x)=x^2(x+2)(x-1)

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Solution for f(x)=x^2(x+2)(x-1) equation: 


Simplifying
f(x) = x2(x + 2)(x + -1)

Multiply f * x
fx = x2(x + 2)(x + -1)

Reorder the terms:
fx = x2(2 + x)(x + -1)

Reorder the terms:
fx = x2(2 + x)(-1 + x)

Multiply (2 + x) * (-1 + x)
fx = x2(2(-1 + x) + x(-1 + x))
fx = x2((-1 * 2 + x * 2) + x(-1 + x))
fx = x2((-2 + 2x) + x(-1 + x))
fx = x2(-2 + 2x + (-1 * x + x * x))
fx = x2(-2 + 2x + (-1x + x2))

Combine like terms: 2x + -1x = 1x
fx = x2(-2 + 1x + x2)
fx = (-2 * x2 + 1x * x2 + x2 * x2)
fx = (-2x2 + 1x3 + x4)

Solving
fx = -2x2 + 1x3 + x4

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = -2x + x2 + x3

Simplifying
f = -2x + x2 + x3

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