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Simplifying f(x) = (2x + -21)(x2 + 36) Multiply f * x fx = (2x + -21)(x2 + 36) Reorder the terms: fx = (-21 + 2x)(x2 + 36) Reorder the terms: fx = (-21 + 2x)(36 + x2) Multiply (-21 + 2x) * (36 + x2) fx = (-21(36 + x2) + 2x * (36 + x2)) fx = ((36 * -21 + x2 * -21) + 2x * (36 + x2)) fx = ((-756 + -21x2) + 2x * (36 + x2)) fx = (-756 + -21x2 + (36 * 2x + x2 * 2x)) fx = (-756 + -21x2 + (72x + 2x3)) Reorder the terms: fx = (-756 + 72x + -21x2 + 2x3) fx = (-756 + 72x + -21x2 + 2x3) Solving fx = -756 + 72x + -21x2 + 2x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -756x-1 + 72 + -21x + 2x2 Simplifying f = -756x-1 + 72 + -21x + 2x2 Reorder the terms: f = 72 + -756x-1 + -21x + 2x2
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