f(x)=(x-1)(x^2-x+3)

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Solution for f(x)=(x-1)(x^2-x+3) equation:


Simplifying
f(x) = (x + -1)(x2 + -1x + 3)

Multiply f * x
fx = (x + -1)(x2 + -1x + 3)

Reorder the terms:
fx = (-1 + x)(x2 + -1x + 3)

Reorder the terms:
fx = (-1 + x)(3 + -1x + x2)

Multiply (-1 + x) * (3 + -1x + x2)
fx = (-1(3 + -1x + x2) + x(3 + -1x + x2))
fx = ((3 * -1 + -1x * -1 + x2 * -1) + x(3 + -1x + x2))
fx = ((-3 + 1x + -1x2) + x(3 + -1x + x2))
fx = (-3 + 1x + -1x2 + (3 * x + -1x * x + x2 * x))
fx = (-3 + 1x + -1x2 + (3x + -1x2 + x3))

Reorder the terms:
fx = (-3 + 1x + 3x + -1x2 + -1x2 + x3)

Combine like terms: 1x + 3x = 4x
fx = (-3 + 4x + -1x2 + -1x2 + x3)

Combine like terms: -1x2 + -1x2 = -2x2
fx = (-3 + 4x + -2x2 + x3)

Solving
fx = -3 + 4x + -2x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -3x-1 + 4 + -2x + x2

Simplifying
f = -3x-1 + 4 + -2x + x2

Reorder the terms:
f = 4 + -3x-1 + -2x + x2

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