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Simplifying f(p) = (p5 + 6p4 + -8p2 + 3) Multiply f * p fp = (p5 + 6p4 + -8p2 + 3) Reorder the terms: fp = (3 + -8p2 + 6p4 + p5) Remove parenthesis around (3 + -8p2 + 6p4 + p5) fp = 3 + -8p2 + 6p4 + p5 Solving fp = 3 + -8p2 + 6p4 + p5 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'p'. f = 3p-1 + -8p + 6p3 + p4 Simplifying f = 3p-1 + -8p + 6p3 + p4
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