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Index

An index is a symbol often placed to the right and below another symbol, which it characterizes or numbers.

 


Explanation

In the notation x1, the 1 is the index of x, which reads x one.

 


Example 1

You can factorize the quadratic function f (x) = ax2 + bx + c using the quadratic formula

and with the Viète formulas you can write the sum and the product of the roots as

     and     

 


Example 2

In a polynomial of degree n

P(x) = anxn  + an−1xn−1  + ··· + a2x2 + a1x + a0 = (x − x1)(x − x2) ··· (x − xn)

are x1, x2, ... , xn the zeroes and are a0a1a2, ... , an the coefficients of the different terms.

 


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