Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following :`p(x)=x^4-5x+6`, `g(x)=2-x^2`

Explanation

To divide the polynomial \( p(x) = x^4 - 5x + 6 \) by the polynomial \( g(x) = 2 - x^2 \), we will use polynomial long division. Here are the steps:

### Step 1: Arrange the Polynomials
First, we write the polynomials in standard form. We can rewrite \( g(x) \) as \( -x^2 + 2 \) to make it easier to work with.

### Step 2: Divide the Leading Terms
We divide the leading term of \( p(x) \) by the leading term of \( g(x) \):
\[
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