Question

polynomial in the form ax^2+b+c

Answer 1

Given:

The polynomial is:

$-7-\dfrac{1}{2}x+x^2$

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:

$P(x)=-7-\dfrac{1}{2}x+x^2$

After arranging the terms, it can be written as:

$P(x)=x^2-\dfrac{1}{2}x-7$

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

$a=1,b=-\dfrac{1}{2},c=-7$

Therefore, the standard form of the given polynomial is $x^2-\dfrac{1}{2}x-7$ and the required values are $a=1,b=-\dfrac{1}{2},c=-7$.