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Simplifying f(x) = (2x + -1)(x + 2)(x + 3) Multiply f * x fx = (2x + -1)(x + 2)(x + 3) Reorder the terms: fx = (-1 + 2x)(x + 2)(x + 3) Reorder the terms: fx = (-1 + 2x)(2 + x)(x + 3) Reorder the terms: fx = (-1 + 2x)(2 + x)(3 + x) Multiply (-1 + 2x) * (2 + x) fx = (-1(2 + x) + 2x * (2 + x))(3 + x) fx = ((2 * -1 + x * -1) + 2x * (2 + x))(3 + x) fx = ((-2 + -1x) + 2x * (2 + x))(3 + x) fx = (-2 + -1x + (2 * 2x + x * 2x))(3 + x) fx = (-2 + -1x + (4x + 2x2))(3 + x) Combine like terms: -1x + 4x = 3x fx = (-2 + 3x + 2x2)(3 + x) Multiply (-2 + 3x + 2x2) * (3 + x) fx = (-2(3 + x) + 3x * (3 + x) + 2x2 * (3 + x)) fx = ((3 * -2 + x * -2) + 3x * (3 + x) + 2x2 * (3 + x)) fx = ((-6 + -2x) + 3x * (3 + x) + 2x2 * (3 + x)) fx = (-6 + -2x + (3 * 3x + x * 3x) + 2x2 * (3 + x)) fx = (-6 + -2x + (9x + 3x2) + 2x2 * (3 + x)) fx = (-6 + -2x + 9x + 3x2 + (3 * 2x2 + x * 2x2)) fx = (-6 + -2x + 9x + 3x2 + (6x2 + 2x3)) Combine like terms: -2x + 9x = 7x fx = (-6 + 7x + 3x2 + 6x2 + 2x3) Combine like terms: 3x2 + 6x2 = 9x2 fx = (-6 + 7x + 9x2 + 2x3) Solving fx = -6 + 7x + 9x2 + 2x3 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 + 7 + 9x + 2x2 Simplifying f = -6x-1 + 7 + 9x + 2x2 Reorder the terms: f = 7 + -6x-1 + 9x + 2x2
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