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Simplifying f(x) = (x + 2)(x + -2)(x + -9) Multiply f * x fx = (x + 2)(x + -2)(x + -9) Reorder the terms: fx = (2 + x)(x + -2)(x + -9) Reorder the terms: fx = (2 + x)(-2 + x)(x + -9) Reorder the terms: fx = (2 + x)(-2 + x)(-9 + x) Multiply (2 + x) * (-2 + x) fx = (2(-2 + x) + x(-2 + x))(-9 + x) fx = ((-2 * 2 + x * 2) + x(-2 + x))(-9 + x) fx = ((-4 + 2x) + x(-2 + x))(-9 + x) fx = (-4 + 2x + (-2 * x + x * x))(-9 + x) fx = (-4 + 2x + (-2x + x2))(-9 + x) Combine like terms: 2x + -2x = 0 fx = (-4 + 0 + x2)(-9 + x) fx = (-4 + x2)(-9 + x) Multiply (-4 + x2) * (-9 + x) fx = (-4(-9 + x) + x2(-9 + x)) fx = ((-9 * -4 + x * -4) + x2(-9 + x)) fx = ((36 + -4x) + x2(-9 + x)) fx = (36 + -4x + (-9 * x2 + x * x2)) fx = (36 + -4x + (-9x2 + x3)) fx = (36 + -4x + -9x2 + x3) Solving fx = 36 + -4x + -9x2 + x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 36x-1 + -4 + -9x + x2 Simplifying f = 36x-1 + -4 + -9x + x2 Reorder the terms: f = -4 + 36x-1 + -9x + x2
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