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Simplifying f(x) = (6 + -1x)(x + -2)(x + 7) Multiply f * x fx = (6 + -1x)(x + -2)(x + 7) Reorder the terms: fx = (6 + -1x)(-2 + x)(x + 7) Reorder the terms: fx = (6 + -1x)(-2 + x)(7 + x) Multiply (6 + -1x) * (-2 + x) fx = (6(-2 + x) + -1x * (-2 + x))(7 + x) fx = ((-2 * 6 + x * 6) + -1x * (-2 + x))(7 + x) fx = ((-12 + 6x) + -1x * (-2 + x))(7 + x) fx = (-12 + 6x + (-2 * -1x + x * -1x))(7 + x) fx = (-12 + 6x + (2x + -1x2))(7 + x) Combine like terms: 6x + 2x = 8x fx = (-12 + 8x + -1x2)(7 + x) Multiply (-12 + 8x + -1x2) * (7 + x) fx = (-12(7 + x) + 8x * (7 + x) + -1x2 * (7 + x)) fx = ((7 * -12 + x * -12) + 8x * (7 + x) + -1x2 * (7 + x)) fx = ((-84 + -12x) + 8x * (7 + x) + -1x2 * (7 + x)) fx = (-84 + -12x + (7 * 8x + x * 8x) + -1x2 * (7 + x)) fx = (-84 + -12x + (56x + 8x2) + -1x2 * (7 + x)) fx = (-84 + -12x + 56x + 8x2 + (7 * -1x2 + x * -1x2)) fx = (-84 + -12x + 56x + 8x2 + (-7x2 + -1x3)) Combine like terms: -12x + 56x = 44x fx = (-84 + 44x + 8x2 + -7x2 + -1x3) Combine like terms: 8x2 + -7x2 = 1x2 fx = (-84 + 44x + 1x2 + -1x3) Solving fx = -84 + 44x + 1x2 + -1x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -84x-1 + 44 + x + -1x2 Simplifying f = -84x-1 + 44 + x + -1x2 Reorder the terms: f = 44 + -84x-1 + x + -1x2
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