Question

Which polynomial represents the difference below 2x2+7x+6 - (3x2-x) ----------------

Answer 1

Answer:
`-x^2+8x+6`

Explanation:

For this exercise is important to remember the multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-`

Then, Given the following expression:

`2x^2+7x+6 - (3x^2-x)`

The first step is to distribute the negative sign in order to eliminate the parentheses:

`2x^2+7x+6 - (3x^2-x)=2x^2+7x+6 -3x^2+x`

The final step is to add the like terms.

Therefore, the polynomial that represents the differences is:

`=-x^2+8x+6`