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Simplifying f(x) = (x + 3)(2x + -1)(x + 2) Multiply f * x fx = (x + 3)(2x + -1)(x + 2) Reorder the terms: fx = (3 + x)(2x + -1)(x + 2) Reorder the terms: fx = (3 + x)(-1 + 2x)(x + 2) Reorder the terms: fx = (3 + x)(-1 + 2x)(2 + x) Multiply (3 + x) * (-1 + 2x) fx = (3(-1 + 2x) + x(-1 + 2x))(2 + x) fx = ((-1 * 3 + 2x * 3) + x(-1 + 2x))(2 + x) fx = ((-3 + 6x) + x(-1 + 2x))(2 + x) fx = (-3 + 6x + (-1 * x + 2x * x))(2 + x) fx = (-3 + 6x + (-1x + 2x2))(2 + x) Combine like terms: 6x + -1x = 5x fx = (-3 + 5x + 2x2)(2 + x) Multiply (-3 + 5x + 2x2) * (2 + x) fx = (-3(2 + x) + 5x * (2 + x) + 2x2 * (2 + x)) fx = ((2 * -3 + x * -3) + 5x * (2 + x) + 2x2 * (2 + x)) fx = ((-6 + -3x) + 5x * (2 + x) + 2x2 * (2 + x)) fx = (-6 + -3x + (2 * 5x + x * 5x) + 2x2 * (2 + x)) fx = (-6 + -3x + (10x + 5x2) + 2x2 * (2 + x)) fx = (-6 + -3x + 10x + 5x2 + (2 * 2x2 + x * 2x2)) fx = (-6 + -3x + 10x + 5x2 + (4x2 + 2x3)) Combine like terms: -3x + 10x = 7x fx = (-6 + 7x + 5x2 + 4x2 + 2x3) Combine like terms: 5x2 + 4x2 = 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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