algebric number definition
Answers
Answer:
An algebraic number is any complex number that is a root of a non-zero polynomial in one variable with rational coefficients. All integers and rational numbers are algebraic, as are all roots of integers. Real and complex numbers that are not algebraic, such as π and e, are called transcendental numbers
Answer:
Algebraic Number
To be algebraic, a number must be a root of a non-zero polynomial equation with rational coefficients.
Put more simply, when we have an equation like (for example):
2x3 − 5x + 39 = 0
Then x is algebraic.
Because all conditions are met:
* 2x3 − 5x + 39 is a non-zero polynomial (a polynomial which is not just "0")
* x is a root (i.e. x gives the result of zero for the function 2x3 − 5x + 39)
*The coefficients (the numbers 2, −5 and 39) are rational numbers
Hope you understood.
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