Problemas
Consider the polynomial 6x-7x^3-2x^5 e) Write the polynomia in standard form: f) How many terms are in the polynomial? __ so it is called a __ g) What is the degree of the polynomial? __ __ __ h) What is the leading coefficient? because __
Roztwór
Luisa
veterano · Tutor durante 9 años
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Respuesta
) To write the polynomial in standard form, we need to arrange the terms in descending order of their exponents. The polynomial given is
. Rearranging the terms, we get
.f) The polynomial
has three terms:
,
, and
. Therefore, it is called a trinomial.g) The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the highest exponent is 5, so the degree of the polynomial is 5.h) The leading coefficient is the coefficient of the term with the highest degree. In this polynomial, the term with the highest degree is
, so the leading coefficient is -2.