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