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Simplifying f(x) = (2k2 + 3k + -35) * x3 + (2k + 7) * x + 5k Multiply f * x fx = (2k2 + 3k + -35) * x3 + (2k + 7) * x + 5k Reorder the terms: fx = (-35 + 3k + 2k2) * x3 + (2k + 7) * x + 5k Reorder the terms for easier multiplication: fx = x3(-35 + 3k + 2k2) + (2k + 7) * x + 5k fx = (-35 * x3 + 3k * x3 + 2k2 * x3) + (2k + 7) * x + 5k Reorder the terms: fx = (3kx3 + 2k2x3 + -35x3) + (2k + 7) * x + 5k fx = (3kx3 + 2k2x3 + -35x3) + (2k + 7) * x + 5k Reorder the terms: fx = 3kx3 + 2k2x3 + -35x3 + (7 + 2k) * x + 5k Reorder the terms for easier multiplication: fx = 3kx3 + 2k2x3 + -35x3 + x(7 + 2k) + 5k fx = 3kx3 + 2k2x3 + -35x3 + (7 * x + 2k * x) + 5k Reorder the terms: fx = 3kx3 + 2k2x3 + -35x3 + (2kx + 7x) + 5k fx = 3kx3 + 2k2x3 + -35x3 + (2kx + 7x) + 5k Reorder the terms: fx = 5k + 2kx + 3kx3 + 2k2x3 + 7x + -35x3 Solving fx = 5k + 2kx + 3kx3 + 2k2x3 + 7x + -35x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 5kx-1 + 2k + 3kx2 + 2k2x2 + 7 + -35x2 Simplifying f = 5kx-1 + 2k + 3kx2 + 2k2x2 + 7 + -35x2 Reorder the terms: f = 7 + 2k + 5kx-1 + 3kx2 + 2k2x2 + -35x2
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