If the practical use of algebra and math broadly is to calculate an unknown answer then why is factoring polynomials still taught if it is merely a means to rewrite data which one already has?

Question

If the practical use of algebra and math broadly is to calculate an unknown answer then why is factoring polynomials still taught if it is merely a means to rewrite data which one already has?

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Answer 1

The factoring of polynomials has more applications in advanced sciences and computing. Linear algebra and differential equations see extensive factoring. Balancing chemical equations? Factoring polynomials. Does every problem require use of the quadratic equation, absolutely not. Take a calculus class and you’ll thank your teachers for the ability to rewrite data.