Question

For the polynomial 2
2 1 7 2 6
,
5 2
x x
x x
 
  write
i) the degree of the polynomial
ii) the coefficient of x3
.
iii) the coefficient of x6
.
iv) the constant term

Answer 1

Find the degree of polynomial and coefficient of x^3 and x^6

Answer:

Since the questions is missing so I decided to provide you general rules and some relative examples.

Definition

The mathematical expression of form

$a_6x^6+a_5x^5+a_4x^4+a_3x^3+a_2x^2+a_1x^1+a_0x^0$

is called the polynomial of degree 6 where $a_6 \neq 0$

And

$a_i$ are called the coefficients of $x^i$ for $i = 0,1,2,3,4,5,6$

The term $a_0x^0 = a_0 . 1 = a_0$ is called the constant term of this polynomial

For example

suppose the following polynomial of degree 6 with real coefficients

$6x^6+5x^5+4x^4+3x^3+2x^2+1x^1+0x^0=6x^6+5x^5+4x^4+3x^3+2x^2+1x^1$

In above example

coefficient of $x^6$ is 6 , $x^5$ is 5  and soon on $x^0$ is 0

And constant term is 0

To learn more about the polynomials chick on following links

https://brainly.in/question/24311426

https://brainly.in/question/2373351