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Simplifying f(x) = (x4 + -32x3)(4x2 + -1x) Multiply f * x fx = (x4 + -32x3)(4x2 + -1x) Reorder the terms: fx = (-32x3 + x4)(4x2 + -1x) Reorder the terms: fx = (-32x3 + x4)(-1x + 4x2) Multiply (-32x3 + x4) * (-1x + 4x2) fx = (-32x3 * (-1x + 4x2) + x4(-1x + 4x2)) fx = ((-1x * -32x3 + 4x2 * -32x3) + x4(-1x + 4x2)) fx = ((32x4 + -128x5) + x4(-1x + 4x2)) fx = (32x4 + -128x5 + (-1x * x4 + 4x2 * x4)) fx = (32x4 + -128x5 + (-1x5 + 4x6)) Combine like terms: -128x5 + -1x5 = -129x5 fx = (32x4 + -129x5 + 4x6) Solving fx = 32x4 + -129x5 + 4x6 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 32x3 + -129x4 + 4x5 Simplifying f = 32x3 + -129x4 + 4x5
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