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Simplifying f(x) = (x + 1)(x + 3)(x + -2) Multiply f * x fx = (x + 1)(x + 3)(x + -2) Reorder the terms: fx = (1 + x)(x + 3)(x + -2) Reorder the terms: fx = (1 + x)(3 + x)(x + -2) Reorder the terms: fx = (1 + x)(3 + x)(-2 + x) Multiply (1 + x) * (3 + x) fx = (1(3 + x) + x(3 + x))(-2 + x) fx = ((3 * 1 + x * 1) + x(3 + x))(-2 + x) fx = ((3 + 1x) + x(3 + x))(-2 + x) fx = (3 + 1x + (3 * x + x * x))(-2 + x) fx = (3 + 1x + (3x + x2))(-2 + x) Combine like terms: 1x + 3x = 4x fx = (3 + 4x + x2)(-2 + x) Multiply (3 + 4x + x2) * (-2 + x) fx = (3(-2 + x) + 4x * (-2 + x) + x2(-2 + x)) fx = ((-2 * 3 + x * 3) + 4x * (-2 + x) + x2(-2 + x)) fx = ((-6 + 3x) + 4x * (-2 + x) + x2(-2 + x)) fx = (-6 + 3x + (-2 * 4x + x * 4x) + x2(-2 + x)) fx = (-6 + 3x + (-8x + 4x2) + x2(-2 + x)) fx = (-6 + 3x + -8x + 4x2 + (-2 * x2 + x * x2)) fx = (-6 + 3x + -8x + 4x2 + (-2x2 + x3)) Combine like terms: 3x + -8x = -5x fx = (-6 + -5x + 4x2 + -2x2 + x3) Combine like terms: 4x2 + -2x2 = 2x2 fx = (-6 + -5x + 2x2 + x3) Solving fx = -6 + -5x + 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 = -6x-1 + -5 + 2x + x2 Simplifying f = -6x-1 + -5 + 2x + x2 Reorder the terms: f = -5 + -6x-1 + 2x + x2
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