Question

Polynomial in the form ax^2+b+c

Answer 1

Given:

The polynomial is:

`-7-(1)/(2)x+x^2`

To find:

The standard form
`ax^2+bx+c` of given polynomial and then find the values of a,b,c.

Solution:

The given polynomial is:

`P(x)=-7-(1)/(2)x+x^2`

After arranging the terms, it can be written as:

`P(x)=x^2-(1)/(2)x-7`

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

`a=1,b=-(1)/(2),c=-7`

Therefore, the standard form of the given polynomial is
`x^2-(1)/(2)x-7` and the required values are
`a=1,b=-(1)/(2),c=-7`.