Question

middle term splitting of x^2-8x-1280

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{x^2-8x-1280}$

$\underline{\textbf{To find:}}$

$\mathsf{Factors\;of\;x^2-8x-1280\;by\;splitting\;its\;middle\;term}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{x^2-8x-1280}$

$\textsf{Middle term is splitted such that their product is -1280 and sum is -8}$

$\mathsf{=x^2-40x+32x-1280}$

$\mathsf{=x(x-40)+32(x-40)}$

$\mathsf{=(x-40)\,(x+32)}$

$\implies\boxed{\bf\,x^2-8x-1280=(x-40)\,(x+32)}$