[Answer] A polynomial function has a root of -7 with multiplicity 2 a root of -1 with multiplicity 1 a root of 2 with multiplicity 4 and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree which statement about the graph is true?

Answer: The graph of the function is positive on (mc026-2.jpg -7).C

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A polynomial function has a root of -7 with multiplicity 2 a root of -1 with multiplicity 1 a root of 2 with multiplicity 4 and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree which statement about the graph is true? 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 … Etymology. The word polynomial joins two diverse roots: the Greek poly meaning "many" and the Latin nomen or name.It was derived from the term binomial by replacing the Latin root bi-with the Greek poly-.The word polynomial was first used in the 17th century.. Notation and terminology. The x occurring in a polynomial is commonly called a variable or an indeterminate. A system of polynomial equations (sometimes simply a polynomial system) is a set of simultaneous equations f 1 = 0 ... f h = 0 where the f i are polynomials in several variables say x 1 ... x n over some field k.. A solution of a polynomial system is a set of values for the x i s which belong to some algebraically closed field extension K of k and make all equations true . Polynomial ring - Wikipedia Polynomial - Wikipedia Characteristic polynomial - Wikipedia Polynomial ring - Wikipedia The (formal) derivative of the polynomial + + ⋯ + is the polynomial + + ⋯ + −. In the case of polynomials with real or complex coefficients this is the standard derivative.The above formula defines the derivative of a polynomial even if the coefficients belong to a ring on which no notion of limit is defined. The derivative makes the polynomial ring a differential algebra. In numerical analysis Newton's method also known as the Newton–Raphson method named after Isaac Newton and Joseph Raphson is a root -finding algorithm which produces succ...

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