Question

Simplify polynomial 2x^2+6x-7x+8-3x^2+1​

Answer 1

Final answer is
`-x^2-x+9`.

Explanation:

Given polynomial is
`2x^2+6x-7x+8-3x^2+1`.

Now we need to simplify the given polynomial so we can begin with combining like terms.

`2x^2+6x-7x+8-3x^2+1`

`=2x^2-3x^2+6x-7x+8+1`

`=(2-3)x^2+(6-7)x+(8+1)`

`=(-1)x^2+(-1)x+(9)`

`=-x^2-x+9`

Hence final answer is
`-x^2-x+9`.

Answer 2

Answer:
`-x^2-x+9`

Explanation:

To simplify the given polynomial
`2x^2+6x-7x+8-3x^2+1` we need to add the like terms. Then we get:

`2x^2+6x-7x+8-3x^2+1=(2x^2-3x^2)+(6x-7x)+(8+1)=-x^2-x+9`

Therefore, we get that the polynomial simplified is:

`-x^2-x+9`

Which is a trinomial ( A polynomial that has three terms) of degree 2 (Because the highest exponent is 2).