| 11. | If the leading coefficients were negative, we could expect negative prime values; this is a harmless restriction, really.
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| 12. | But the values of the remainder are "'not "'divided by the leading coefficient of the divisor:
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| 13. | However, a polynomial of degree may also be considered as a polynomial of higher degree such the leading coefficients are zero.
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| 14. | To get this, it suffices to divide every element of the output by the leading coefficient of r _ { k }.
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| 15. | In this case, if is the image of in, the minimal polynomial of is the quotient of by its leading coefficient.
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| 16. | It is a usual convention to choose the sign of the content such that the leading coefficient of the primitive part is positive.
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| 17. | For some in, where is the monic ( i . e . the leading coefficient is 1 ) orthogonal polynomial of degree and where
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| 18. | Let's assume that is a polynomial of degree with leading coefficient 1 with maximal absolute value on the interval less than } }.
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| 19. | If the leading coefficient is positive, then the function increases to positive infinity at both sides and thus the function has a global minimum.
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| 20. | :Any such sequence must be a sequence of either constant polynomials, or polynomials with identical leading coefficient after finitely many terms, no?
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