Answer:
Degree of polynomial is 3
Leading coefficient is 5
Step-by-step explanation:
We are given the polynomial
[tex]p(x)=5x^3+8x^2-3x+1[/tex]
(Note: the given polynomial in the question p(x)=5x(3)=8x(2)-3x+1 , there can't be = so considering + instead of =. There can be - sign as well.)
We need to find
Degree of polynomial and leading coefficient
Degree of polynomial: The degree of polynomial is the highest exponent of the base.
Leading coefficient: Leading coefficient is the coefficient that is attached with base having highest degree exponent.
In the given polynomial: [tex]p(x)=5x^3+8x^2-3x+1[/tex]
The highest degree is 3 according to the definition above.
So, Degree of polynomial is 3
And the leading coefficient is 5 (5x^3)