Finite difference related to the degree of the polynomial. If the first finite difference is constant then the polynomial is linear; if the second is constant then it is quadratic; if the third is constant then it has to be cubic in nature and so on. There is also a very important relation between the leading coefficient degree of polynomial and the finite difference: a n! = Finite difference.
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Polynomials are used to model many real-life situations. Techniques to write an equation, factor and then solve are discussed with many test related questions.
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