Answer
(a)
$4t^2$: degree=2
$6$: degree = 0
$15t^5$: degree = 5
(b)
leading term = $15t^5$
leading coefficient = $15$
(c)
degree of the polynomial = $5$
Work Step by Step
RECALL:
The terms of a polynomial are separated by either an addition or a subtraction operation.
Thus, the given polynomial has three terms, namely:
$4t^2$, $6$, and $15t^5$
(a) The degree of a term is equal to the sum of the exponents of its variables.
The degree of each term is:
$4t^2$: degree=2
$6$: degree = 0
$15t^5$: degree = 5
(b) The leading term of a polynomial is the term with the highest degree.
The term with the highest degree is $15t^5$.
Thus, the leading term of the polynomial is $15t^5$.
The leading coefficient is $15$.
(c) The degree of a polynomial is equal to the degree of the leading term.
Thus, the degree of the polynomial is $5$.
