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Factor the numerator by $4$
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$\frac{4\left(x^3-2x-1\right)}{4x+4}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (4x^3-8x+-4)/(4x+4). Factor the numerator by 4. Factor the denominator by 4. Cancel the fraction's common factor 4. We can factor the polynomial x^3-2x-1 using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals -1.