[Answer] A polynomial function has a root of -6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree which could be the graph of the function?

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A polynomial function has a root of -6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree which could be the graph of the function? The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root .This includes polynomials with real coefficients since every real number is a complex number with its imaginary part equal to zero.. Equivalently (by definition) the theorem states that the field of complex numbers is algebraically closed. A polynomial function is a function that can be defined by evaluating a polynomial . More precisely a function f of one argument from a given domain is a polynomial function if there exists a polynomial + − − + ⋯ + + + that evaluates to () for all x in the domain of f (here n is a non- negative integer and a 0 a 1 a 2 ... a n are constant coefficients). ). Generally unless otherwise ... Polynomial - Wikipedia Polynomial - Wikipedia Eigenvalues and eigenvectors - Wikipedia Irreducible polynomial - Wikipedia Using Leibniz' rule for the determinant the left-hand side of Equation is a polynomial function of the variable λ and the degree of this polynomial is n the order of the matrix A.Its coefficients depend on the entries of A except that its term of degree n is always (−1) n λ n.This polynomial is called the characteristic polynomial of A.Equation is called the characteristic equation or ... has degree 3 in x and degree 2 in y. Degree function in abstract algebra. Given a ring R the polynomial ring R[x] is the set of all polynomials in x that have coefficients in R. In the special case that R is also a field the polynomial ring R[x] is a principal ideal domain and more importantly to our discussion here a Euclidean domain. In mathematics an irreducible polynomial is roughly speaking a polynomial that cannot be factored into the product of two non-constant polynomials.The property of irreducibi...

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