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Simplifying f(x) = (3x + -1)(3 + -1x) + 4x2 + 19 Multiply f * x fx = (3x + -1)(3 + -1x) + 4x2 + 19 Reorder the terms: fx = (-1 + 3x)(3 + -1x) + 4x2 + 19 Multiply (-1 + 3x) * (3 + -1x) fx = (-1(3 + -1x) + 3x * (3 + -1x)) + 4x2 + 19 fx = ((3 * -1 + -1x * -1) + 3x * (3 + -1x)) + 4x2 + 19 fx = ((-3 + 1x) + 3x * (3 + -1x)) + 4x2 + 19 fx = (-3 + 1x + (3 * 3x + -1x * 3x)) + 4x2 + 19 fx = (-3 + 1x + (9x + -3x2)) + 4x2 + 19 Combine like terms: 1x + 9x = 10x fx = (-3 + 10x + -3x2) + 4x2 + 19 Reorder the terms: fx = -3 + 19 + 10x + -3x2 + 4x2 Combine like terms: -3 + 19 = 16 fx = 16 + 10x + -3x2 + 4x2 Combine like terms: -3x2 + 4x2 = 1x2 fx = 16 + 10x + 1x2 Solving fx = 16 + 10x + 1x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 16x-1 + 10 + x Simplifying f = 16x-1 + 10 + x Reorder the terms: f = 10 + 16x-1 + x
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