Question

Factorise the given expression
44(P4 - 5P3 - 24P2) - 11P(P - 8)​

Answer 1

$\textbf{Given:}$

$\mathsf{44(P^4-5P^3-24P^2)-11P(P-8)}$

$\textbf{To find:}$

$\textsf{Factors of the given polynomial}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{44(P^4-5P^3-24P^2)-11P(P-8)}$

$\mathsf{=44P^2(P^2-5P-24)-11P(P-8)}$

$\mathsf{=44P^2(P^2-8P+3P-24)-11P(P-8)}$

$\mathsf{=44P^2(P(P-8)+3(P-8))-11P(P-8)}$

$\mathsf{=44P^2(P-8)(P+3)-11P(P-8)}$

$\mathsf{=11P(P-8)[4P(P+3)-1]}$

$\mathsf{=11P(P-8)(4P^2+12P-1)}$

$\textbf{Answer:}$

$\mathsf{44(P^4-5P^3-24P^2)-11P(P-8)=11P(P-8)(4P^2+12P-1)}$

$\textbf{Find more:}$

Answer 2

Answer:

4p(p+3)

Step-by-step explanation: