Question

Find the factors of 42-x-x2

Answer 1

Answer:

${\large{\overbrace{\underbrace{\purple{your \: answer:(x + 6)(x - 7)}}}}} \\ \\ \bf\red{ ♡} \: \: \: \: \: \huge{ \ddot{ \red{ \smile}}}$

Step-by-step explanation:

$\bf\red{ \underline{ \hookrightarrow \: using \: middle \: term \: splitting \: method}}\\ \\ \bf\ 42 - x - {x}^{2} \\ \\ \bf\ \hookrightarrow - {x}^{2} - x + 42 \\ \\ \bf\ \hookrightarrow {x}^{2} + x - 42 \\ \\ \bf\ \hookrightarrow \: {x}^{2} + (7x - 6x) - 42 \\ \\ \bf\ \hookrightarrow {x}^{2} + 7x - 6x - 42 \\ \\ \bf\ \hookrightarrow x (x + 7) - 6(x + 7) \\ \\ \bf\boxed{ \hookrightarrow(x - 6)(x + 7)} \\ \\ \large\boxed{ \fcolorbox{blue}{orange}{hope \: it \: help \: you}}$