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Simplifying f(x) = x(x + -1)(x + -4) Multiply f * x fx = x(x + -1)(x + -4) Reorder the terms: fx = x(-1 + x)(x + -4) Reorder the terms: fx = x(-1 + x)(-4 + x) Multiply (-1 + x) * (-4 + x) fx = x(-1(-4 + x) + x(-4 + x)) fx = x((-4 * -1 + x * -1) + x(-4 + x)) fx = x((4 + -1x) + x(-4 + x)) fx = x(4 + -1x + (-4 * x + x * x)) fx = x(4 + -1x + (-4x + x2)) Combine like terms: -1x + -4x = -5x fx = x(4 + -5x + x2) fx = (4 * x + -5x * x + x2 * x) fx = (4x + -5x2 + x3) Solving fx = 4x + -5x2 + 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 = 4 + -5x + x2 Simplifying f = 4 + -5x + x2
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