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Simplifying f(x) = (x2 + 2)(3x + -1) Multiply f * x fx = (x2 + 2)(3x + -1) Reorder the terms: fx = (2 + x2)(3x + -1) Reorder the terms: fx = (2 + x2)(-1 + 3x) Multiply (2 + x2) * (-1 + 3x) fx = (2(-1 + 3x) + x2(-1 + 3x)) fx = ((-1 * 2 + 3x * 2) + x2(-1 + 3x)) fx = ((-2 + 6x) + x2(-1 + 3x)) fx = (-2 + 6x + (-1 * x2 + 3x * x2)) fx = (-2 + 6x + (-1x2 + 3x3)) fx = (-2 + 6x + -1x2 + 3x3) Solving fx = -2 + 6x + -1x2 + 3x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -2x-1 + 6 + -1x + 3x2 Simplifying f = -2x-1 + 6 + -1x + 3x2 Reorder the terms: f = 6 + -2x-1 + -1x + 3x2
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