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Simplifying f(x) = (x + -3)(x3 + -8x) Multiply f * x fx = (x + -3)(x3 + -8x) Reorder the terms: fx = (-3 + x)(x3 + -8x) Reorder the terms: fx = (-3 + x)(-8x + x3) Multiply (-3 + x) * (-8x + x3) fx = (-3(-8x + x3) + x(-8x + x3)) fx = ((-8x * -3 + x3 * -3) + x(-8x + x3)) fx = ((24x + -3x3) + x(-8x + x3)) fx = (24x + -3x3 + (-8x * x + x3 * x)) fx = (24x + -3x3 + (-8x2 + x4)) Reorder the terms: fx = (24x + -8x2 + -3x3 + x4) fx = (24x + -8x2 + -3x3 + x4) Solving fx = 24x + -8x2 + -3x3 + 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 = 24 + -8x + -3x2 + x3 Simplifying f = 24 + -8x + -3x2 + x3
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