Answer
(a) $-4x^5+6x^4+1$
(b) Degree is $5$ and leading coefficient is $-4$
(c) Trinomial
Work Step by Step
(a) The standard form of a polynomial is expressed by writing the terms in decreasing order of powers of the variable like $ax^2+bx+x$. Therefore, standard form of given polynomial is $-4x^5+6x^4+1$.
(b) Degree of a polynomial is the highest power of the variable in polynomial, and the coefficient of respective term is the leading coefficient. Since, $-4x^5$ is the term with highest power, degree is $5$ and leading coefficient is $-4$.
(c) A polynomial with single, double and triple terms are named monomial, binomial and trinomial respectively. Since $-4x^5+6x^4+1$ has three terms, is a trinomial.
