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Simplifying f(x) = 3x(x + -3)(x + 4) Multiply f * x fx = 3x(x + -3)(x + 4) Reorder the terms: fx = 3x(-3 + x)(x + 4) Reorder the terms: fx = 3x(-3 + x)(4 + x) Multiply (-3 + x) * (4 + x) fx = 3x(-3(4 + x) + x(4 + x)) fx = 3x((4 * -3 + x * -3) + x(4 + x)) fx = 3x((-12 + -3x) + x(4 + x)) fx = 3x(-12 + -3x + (4 * x + x * x)) fx = 3x(-12 + -3x + (4x + x2)) Combine like terms: -3x + 4x = 1x fx = 3x(-12 + 1x + x2) fx = (-12 * 3x + 1x * 3x + x2 * 3x) fx = (-36x + 3x2 + 3x3) Solving fx = -36x + 3x2 + 3x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -36 + 3x + 3x2 Simplifying f = -36 + 3x + 3x2
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