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