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True. Factoring a polynomial involves decomposing it into simpler expressions that can be multiplied to obtain the original polynomial. This process is fundamental in algebra as it allows for easier manipulation and analysis of polynomials. By factoring, we can identify key features of the polynomial such as its roots, zeros, and behavior. Different factoring techniques, such as finding common factors, grouping terms, using special formulas, or applying methods like synthetic division, help in efficiently breaking down polynomials into their respective factors. Overall, factoring a polynomial into a product form enhances our understanding of its properties and facilitates further study and problem-solving in mathematics.
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