Question

Rewrite the polynomial in the form ax^2+bx+cax 2 +bx+c and then identify the values of a,a, b,b, and cc. -x+5x^2+1

Answer 1

Given:

The polynomial is

$-x+5x^2+1$

To find:

The polynomial in the form $ax^2+bx+c$ and find the values of a, b and c.

Solution:

We have,

$-x+5x^2+1$

Arranging the terms in descending order of their degrees, we get

$=5x^2-x+1$

$=(5)x^2+(-1)x+1$

On comparing this polynomial with $ax^2+bx+c$, we get

$a=5,b=-1,c=1$

Therefore, the value of a is 5, the value of b is -1 and the value of c is 1.