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Simplifying f(x) = (5 + -2x)(x2 + -1) Multiply f * x fx = (5 + -2x)(x2 + -1) Reorder the terms: fx = (5 + -2x)(-1 + x2) Multiply (5 + -2x) * (-1 + x2) fx = (5(-1 + x2) + -2x * (-1 + x2)) fx = ((-1 * 5 + x2 * 5) + -2x * (-1 + x2)) fx = ((-5 + 5x2) + -2x * (-1 + x2)) fx = (-5 + 5x2 + (-1 * -2x + x2 * -2x)) fx = (-5 + 5x2 + (2x + -2x3)) Reorder the terms: fx = (-5 + 2x + 5x2 + -2x3) fx = (-5 + 2x + 5x2 + -2x3) Solving fx = -5 + 2x + 5x2 + -2x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -5x-1 + 2 + 5x + -2x2 Simplifying f = -5x-1 + 2 + 5x + -2x2 Reorder the terms: f = 2 + -5x-1 + 5x + -2x2
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