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