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Simplifying f(x) = (x2 + 25)(x3 + 2x2 + -15x) Multiply f * x fx = (x2 + 25)(x3 + 2x2 + -15x) Reorder the terms: fx = (25 + x2)(x3 + 2x2 + -15x) Reorder the terms: fx = (25 + x2)(-15x + 2x2 + x3) Multiply (25 + x2) * (-15x + 2x2 + x3) fx = (25(-15x + 2x2 + x3) + x2(-15x + 2x2 + x3)) fx = ((-15x * 25 + 2x2 * 25 + x3 * 25) + x2(-15x + 2x2 + x3)) fx = ((-375x + 50x2 + 25x3) + x2(-15x + 2x2 + x3)) fx = (-375x + 50x2 + 25x3 + (-15x * x2 + 2x2 * x2 + x3 * x2)) fx = (-375x + 50x2 + 25x3 + (-15x3 + 2x4 + x5)) Combine like terms: 25x3 + -15x3 = 10x3 fx = (-375x + 50x2 + 10x3 + 2x4 + x5) Solving fx = -375x + 50x2 + 10x3 + 2x4 + x5 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -375 + 50x + 10x2 + 2x3 + x4 Simplifying f = -375 + 50x + 10x2 + 2x3 + x4
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