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