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Factor the polynomial $3x^2-75$ by it's greatest common factor (GCF): $3$
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$\lim_{x\to5}\left(\frac{2x^3-250}{3\left(x^2-25\right)}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(5)lim((2x^3-250)/(3x^2-75)). Factor the polynomial 3x^2-75 by it's greatest common factor (GCF): 3. Factor the polynomial 2x^3-250 by it's greatest common factor (GCF): 2. The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}. Factor the difference of squares \left(x^2-25\right) as the product of two conjugated binomials.