Factor completely. x^(3)+7x^(2)-5x-35=

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Factor completely.  x^(3)+7x^(2)-5x-35=

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Identify Common Factors: Look for common factors in all terms. Check if there is a greatest common factor (GCF) that can be factored out from all terms of the polynomial x^3 + 7x^2 - 5x - 35. Since there are no common factors in all terms, we cannot factor out a GCF.Group Terms for Factoring: Group terms to factor by grouping. Since the polynomial has four terms, we can try to factor by grouping. Group the first two terms together and the last two terms together: (x^3 + 7x^2) + (-5x - 35).Factor Out Common Factors: Factor out the common factor from each group. From the first group (x^3 + 7x^2), we can factor out x^2, which gives us x^2(x + 7). From the second group (-5x - 35), we can factor out -5, which gives us -5(x + 7). Now we have x^2(x + 7) - 5(x + 7).Factor Out Common Binomial: Factor out the common binomial factor. We can see that (x + 7) is a common factor in both terms. Factor out (x + 7) from the expression. This gives us (x + 7)(x^2 - 5).Check Quadratic Factorability: Check if the remaining quadratic can be factored further. The quadratic x^2 - 5 does not factor over the integers because it does not have integer roots. Therefore, it is already in its simplest form.

Factor completely. $\newline$ $x^{3}+7 x^{2}-5 x-35=$

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Factor completely.\newlinex3+7x2−5x−35= x^{3}+7 x^{2}-5 x-35= x3+7x2−5x−35=

Factor completely. $\newline$ $x^{3}+7 x^{2}-5 x-35=$