DEGREES OF POLYNOMIALS

Jan 9, 12
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  • The conditions are defined by a linear system formed by the requirements you list. P(x0)=A means that. A = Aq0(x0) + Bq1(x0) + Cq2(x0) P'(x0)=B .
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  • Aug 22, 2006 . Polynomials, Terms and Degree. For any non-negative integer n, xn is called a
  • We have now factored the polynomial into three linear (=degree 1) polynomials.
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  • The ring elements $a_0, \ldots, a_N$ are called coefficients of the polynomial,
  • A polynomial of degree n is an expression of the form a0+a1x+a2x2+. +anxn, .
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  • 6x2 - 4xy 2xy - This three term polynomial has a leading term to the second
  • That looks false to me. Counterexample: f(x) = x^2 + x + 1 (degree 2) g(x) = -x^2 + x + 1 (degree 2) f(x) + g(x) = 2x + 2 (degree 1)
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  • The number n, i.e. the highest power in the polynomial is known as the degree, or
  • We refer to the degree of the polynomial as n, because n is the highest non-zero

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