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Simplifying f(x) = (x + 2)(x2 + -11x + 28) Multiply f * x fx = (x + 2)(x2 + -11x + 28) Reorder the terms: fx = (2 + x)(x2 + -11x + 28) Reorder the terms: fx = (2 + x)(28 + -11x + x2) Multiply (2 + x) * (28 + -11x + x2) fx = (2(28 + -11x + x2) + x(28 + -11x + x2)) fx = ((28 * 2 + -11x * 2 + x2 * 2) + x(28 + -11x + x2)) fx = ((56 + -22x + 2x2) + x(28 + -11x + x2)) fx = (56 + -22x + 2x2 + (28 * x + -11x * x + x2 * x)) fx = (56 + -22x + 2x2 + (28x + -11x2 + x3)) Reorder the terms: fx = (56 + -22x + 28x + 2x2 + -11x2 + x3) Combine like terms: -22x + 28x = 6x fx = (56 + 6x + 2x2 + -11x2 + x3) Combine like terms: 2x2 + -11x2 = -9x2 fx = (56 + 6x + -9x2 + x3) Solving fx = 56 + 6x + -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 = 56x-1 + 6 + -9x + x2 Simplifying f = 56x-1 + 6 + -9x + x2 Reorder the terms: f = 6 + 56x-1 + -9x + x2
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