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Simplifying f(x) = (x + -2)(x + 1)(x + -1) Multiply f * x fx = (x + -2)(x + 1)(x + -1) Reorder the terms: fx = (-2 + x)(x + 1)(x + -1) Reorder the terms: fx = (-2 + x)(1 + x)(x + -1) Reorder the terms: fx = (-2 + x)(1 + x)(-1 + x) Multiply (-2 + x) * (1 + x) fx = (-2(1 + x) + x(1 + x))(-1 + x) fx = ((1 * -2 + x * -2) + x(1 + x))(-1 + x) fx = ((-2 + -2x) + x(1 + x))(-1 + x) fx = (-2 + -2x + (1 * x + x * x))(-1 + x) fx = (-2 + -2x + (1x + x2))(-1 + x) Combine like terms: -2x + 1x = -1x fx = (-2 + -1x + x2)(-1 + x) Multiply (-2 + -1x + x2) * (-1 + x) fx = (-2(-1 + x) + -1x * (-1 + x) + x2(-1 + x)) fx = ((-1 * -2 + x * -2) + -1x * (-1 + x) + x2(-1 + x)) fx = ((2 + -2x) + -1x * (-1 + x) + x2(-1 + x)) fx = (2 + -2x + (-1 * -1x + x * -1x) + x2(-1 + x)) fx = (2 + -2x + (1x + -1x2) + x2(-1 + x)) fx = (2 + -2x + 1x + -1x2 + (-1 * x2 + x * x2)) fx = (2 + -2x + 1x + -1x2 + (-1x2 + x3)) Combine like terms: -2x + 1x = -1x fx = (2 + -1x + -1x2 + -1x2 + x3) Combine like terms: -1x2 + -1x2 = -2x2 fx = (2 + -1x + -2x2 + x3) Solving fx = 2 + -1x + -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 = 2x-1 + -1 + -2x + x2 Simplifying f = 2x-1 + -1 + -2x + x2 Reorder the terms: f = -1 + 2x-1 + -2x + x2
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