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Simplifying f(x) = (3x2 + -4x)(2x + -5x4) Multiply f * x fx = (3x2 + -4x)(2x + -5x4) Reorder the terms: fx = (-4x + 3x2)(2x + -5x4) Multiply (-4x + 3x2) * (2x + -5x4) fx = (-4x * (2x + -5x4) + 3x2 * (2x + -5x4)) fx = ((2x * -4x + -5x4 * -4x) + 3x2 * (2x + -5x4)) fx = ((-8x2 + 20x5) + 3x2 * (2x + -5x4)) fx = (-8x2 + 20x5 + (2x * 3x2 + -5x4 * 3x2)) fx = (-8x2 + 20x5 + (6x3 + -15x6)) Reorder the terms: fx = (-8x2 + 6x3 + 20x5 + -15x6) fx = (-8x2 + 6x3 + 20x5 + -15x6) Solving fx = -8x2 + 6x3 + 20x5 + -15x6 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -8x + 6x2 + 20x4 + -15x5 Simplifying f = -8x + 6x2 + 20x4 + -15x5
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