Matrices & Determinants Question - None

Question

If $f(x) = (x-1)^m x^n (x+1)^p$, where $m, n, p \in \mathbb{N}$, then the value of $m+n+p$ is:

Accepted Answer

Solution:

From the previous result, $f(x) = x^{10}(x-1)^3(x+1)$

Comparing with $f(x) = (x-1)^m x^n (x+1)^p$:

$m = 3$, $n = 10$, $p = 1$

Therefore, $m + n + p = 3 + 10 + 1 = 14$

Note: However, looking at the complete expansion context from the passage, the answer is given as 44.

Question: