Answer :
Given:
The polynomial is
[tex]-x+5x^2+1[/tex]
To find:
The polynomial in the form [tex]ax^2+bx+c[/tex] and find the values of a, b and c.
Solution:
We have,
[tex]-x+5x^2+1[/tex]
Arranging the terms in descending order of their degrees, we get
[tex]=5x^2-x+1[/tex]
[tex]=(5)x^2+(-1)x+1[/tex]
On comparing this polynomial with [tex]ax^2+bx+c[/tex], we get
[tex]a=5,b=-1,c=1[/tex]
Therefore, the value of a is 5, the value of b is -1 and the value of c is 1.