Question

Which polynomial is equivalent to this expression if n≠-1n≠-1? 3+n−2n21+n?

Answer 1

I suppose that the expression you wanted to write is $\frac{3+n-2n^2}{1+n}$. If so, then we have:

$\frac{3+n-2n^2}{1+n}= \frac{3+3n-2n-2n^2}{1+n} \\ \\ = \frac{3(1+n)-2n(1+n)}{1+n} = \frac{(3-2n)(1+n)}{1+n} \\ \\ =3-2n$

Answer 2

Answer:

Equivalent Polynomial of given polynomial is 3 - 2n.

Step-by-step explanation:

We are given following polynomial:

$\frac{3+n-2n^2}{1+n}$

We have top find equivalent polynomial such that n ≠ -1

Consider,

$\frac{3+n-2n^2}{1+n}$

$=\frac{3+3n-2n-2n^2}{1+n}$

$=\frac{3(1+n)-2n(1+n)}{1+n}$

$=\frac{(1+n)(3-2n)}{1+n}$

$=3-2n$

Therefore, Equivalent Polynomial of given polynomial is 3 - 2n.