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