Activity: To find zeroes of quadrate polynomial..
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quadratic polynomials and zeroes
Quadratic functions are examples of polynomials, which have a pleasant arithmetic much like that of numbers. The question of factoring polynomials is particularly interesting. Descartes found an important relation between the zeroes of a polynomial, and linear factors of that polynomial.
In this step, we will
review basics of polynomial arithmetic
relate zeroes and factors of quadratics via Descartes theorem
give a proof of Descartes theorem.
Quadratic functions are examples of polynomials, which have a pleasant arithmetic much like that of numbers. The question of factoring polynomials is particularly interesting. Descartes found an important relation between the zeroes of a polynomial, and linear factors of that polynomial.
In this step, we will
review basics of polynomial arithmetic
relate zeroes and factors of quadratics via Descartes theorem
give a proof of Descartes theorem.
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