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Simplifying f(x) = (3x3 + 6)(12x + 1) Multiply f * x fx = (3x3 + 6)(12x + 1) Reorder the terms: fx = (6 + 3x3)(12x + 1) Reorder the terms: fx = (6 + 3x3)(1 + 12x) Multiply (6 + 3x3) * (1 + 12x) fx = (6(1 + 12x) + 3x3 * (1 + 12x)) fx = ((1 * 6 + 12x * 6) + 3x3 * (1 + 12x)) fx = ((6 + 72x) + 3x3 * (1 + 12x)) fx = (6 + 72x + (1 * 3x3 + 12x * 3x3)) fx = (6 + 72x + (3x3 + 36x4)) fx = (6 + 72x + 3x3 + 36x4) Solving fx = 6 + 72x + 3x3 + 36x4 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 + 72 + 3x2 + 36x3 Simplifying f = 6x-1 + 72 + 3x2 + 36x3 Reorder the terms: f = 72 + 6x-1 + 3x2 + 36x3
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