Question

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

Answer 1

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

Step-by-step 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:

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