Question

Degree of the polynomial p(x)= 4x^4+2x^3+x^5+2x+7is

Answer 1

What is degree of polynomial?
- It is the value of total powers ( highest sum ) in a term of an expression.

Coming back to question,


$4 {x}^{4} + 2 {x}^{3} + {x}^{5} + 2x + 7$


Total power in 1st term = 4

Total power in second term = 3

Total power in third term = 5

Total power in fourth term = 4

Total power in fifth term = 0

The degree of polynomial = 5 ( From the above statements )

Answer 2

Highest degree of the given polynomial

________________

p(x)
$= 4{x}^{4} + 2 {x}^{3} + {x}^{5} + 2x + 7$
Highest degree = 5
${x}^{5}$


where the cofficeint of x is 1

Hope this helps you......