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Simplifying f(x) = (x + 1)(7x2 + -6x + 4) Multiply f * x fx = (x + 1)(7x2 + -6x + 4) Reorder the terms: fx = (1 + x)(7x2 + -6x + 4) Reorder the terms: fx = (1 + x)(4 + -6x + 7x2) Multiply (1 + x) * (4 + -6x + 7x2) fx = (1(4 + -6x + 7x2) + x(4 + -6x + 7x2)) fx = ((4 * 1 + -6x * 1 + 7x2 * 1) + x(4 + -6x + 7x2)) fx = ((4 + -6x + 7x2) + x(4 + -6x + 7x2)) fx = (4 + -6x + 7x2 + (4 * x + -6x * x + 7x2 * x)) fx = (4 + -6x + 7x2 + (4x + -6x2 + 7x3)) Reorder the terms: fx = (4 + -6x + 4x + 7x2 + -6x2 + 7x3) Combine like terms: -6x + 4x = -2x fx = (4 + -2x + 7x2 + -6x2 + 7x3) Combine like terms: 7x2 + -6x2 = 1x2 fx = (4 + -2x + 1x2 + 7x3) Solving fx = 4 + -2x + 1x2 + 7x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 4x-1 + -2 + x + 7x2 Simplifying f = 4x-1 + -2 + x + 7x2 Reorder the terms: f = -2 + 4x-1 + x + 7x2
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