If `alpha and beta` are the zeros of the quadratic polynomial `f(x)=x^2-x-2,` find a polynomial whose zeros are `2alpha+1 and 2beta+1.`

Explanation

To solve the problem, we need to find a polynomial whose zeros are \(2\alpha + 1\) and \(2\beta + 1\), given that \(\alpha\) and \(\beta\) are the zeros of the polynomial \(f(x) = x^2 - x - 2\).

### Step 1: Find the zeros of the polynomial \(f(x) = x^2 - x - 2\).

To find the zeros, we can factor the polynomial:

\[
f(x) = x^2 - x - 2 = (x - 2)(x + 1)
...