Question

Subtract the following polynomials2x−6 and 7 x ^2 + 6 x + 4as well as7 x ^2 + 6 x + 4 and 2x-6

Answer 1

We are given the following polynomials:

`\begin{gathered} 2x-6 \\ 7x^2+6x+4 \end{gathered}`

Now, we subtract the second polynomial from the first:

`2x-6-(7x^2+6x+4)`

Now, apply the distributive property on the parenthesis. To do that we change the sign of each of the terms inside:

`2x-6-7x^2-6x-4`

Now, we associate like terms.:

`(2x-6x)+(-6-4)-7x^2`

Now, we solve the operations of the like terms:

`-4x-10-7x^2`

Since we can't simplify any further this is the final answer.