Q
QuestionMathematics

Use the grouping method to factor x^3 +x^2 + 3x+ 3.
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Answer

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Step 1
I'll solve this polynomial factorization problem step by step using the grouping method:

Step 2
: Rearrange the polynomial terms

First, let's write out the original polynomial: $$x^{3} + x^{2} + 3x + 3

Final Answer

Key Insights: - The grouping method works by finding a common factor across grouped terms - In this case, $\left(x + 1\right)$ was the key to successful factorization - The polynomial cannot be factored further over the real numbers