2 Answers

Langtang · Answer 1 · 2021-01-06T04:06:05+0000

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{(x + 4)}}}}}$

Explanation:

$\sf{ {x}^(2) - 5x - 36}$

Find the two numbers that multiplies to 36 and subtracts to 5

$\dashrightarrow{ \sf{ {x}^(2) - (9 - 4)x - 36}}$

Distribute ( - ) sign through the parentheses

$\dashrightarrow{ \sf{ {x}^(2) - 9x + 4x - 36}}$

Take x as common

$\dashrightarrow{ \sf{x(x - 9) + 4x - 36}}$

Take 4 as common

$\dashrightarrow{ \sf{x(x - 9) + 4(x - 9)}}$

$\dashrightarrow{ \sf{(x - 9)(x + 4)}}$

( x + 4 ) is the other factor of x² - 5x - 36

Hope I helped!

Best regards! :D

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