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Simplifying f(x) = (3x + -2x2)(5 + 4x) Multiply f * x fx = (3x + -2x2)(5 + 4x) Multiply (3x + -2x2) * (5 + 4x) fx = (3x * (5 + 4x) + -2x2 * (5 + 4x)) fx = ((5 * 3x + 4x * 3x) + -2x2 * (5 + 4x)) fx = ((15x + 12x2) + -2x2 * (5 + 4x)) fx = (15x + 12x2 + (5 * -2x2 + 4x * -2x2)) fx = (15x + 12x2 + (-10x2 + -8x3)) Combine like terms: 12x2 + -10x2 = 2x2 fx = (15x + 2x2 + -8x3) Solving fx = 15x + 2x2 + -8x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 15 + 2x + -8x2 Simplifying f = 15 + 2x + -8x2
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