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Simplifying f(x) = x2(x + -2)(x + -3) Multiply f * x fx = x2(x + -2)(x + -3) Reorder the terms: fx = x2(-2 + x)(x + -3) Reorder the terms: fx = x2(-2 + x)(-3 + x) Multiply (-2 + x) * (-3 + x) fx = x2(-2(-3 + x) + x(-3 + x)) fx = x2((-3 * -2 + x * -2) + x(-3 + x)) fx = x2((6 + -2x) + x(-3 + x)) fx = x2(6 + -2x + (-3 * x + x * x)) fx = x2(6 + -2x + (-3x + x2)) Combine like terms: -2x + -3x = -5x fx = x2(6 + -5x + x2) fx = (6 * x2 + -5x * x2 + x2 * x2) fx = (6x2 + -5x3 + x4) Solving fx = 6x2 + -5x3 + x4 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 + -5x2 + x3 Simplifying f = 6x + -5x2 + x3
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