Question

Consider the polynomial f(x)=2x^5-3x^4+x-6 (x )equals 2 x Superscript 5 Baseline minus 3 x Superscript 4 Baseline plus x minus 6. Write the degree of this​ polynomial, its leading​ term, its leading​ coefficient, and its constant term.

Answer 1

Answer:

degree of polynomial = 5

leading term = $2x^{5}$

leading coefficient = 2

constant term = -6

Step-by-step explanation:

$f(x) = 2x^{5}-3x^{4}+x-6$

(i) The degree of the polynomial = 5. That is, the highest power of x

(ii) Leading term = $2x^{5}$. This is the term with the highest power of x.

(iii) Leading Coefficient = 2. That is, the coefficient of the leading term ($2x^{5}$)

(iv) Constant term = -6. This is the term that is independent of x or the term in which x doesn't appear.