Step-by-step explanation:
[tex] \tt{5 {x}^{2} - 2x - 7}[/tex]
Find the two numbers that multiply to get 35 and subtract to get 2. The two numbers should be 5 & 7.
⟶ [tex] \tt{5 {x}^{2} - (7 - 5)x - 7}[/tex]
Distribute x through the parentheses
⟶ [tex] \tt{5 {x}^{2} - 7x + 5x - 7}[/tex]
⟶ [tex] \tt{ \underbrace{5 {x}^{2} - 7x } \: + \underbrace{5x - 7}}[/tex]
⟶ [tex] \tt{x(5x - 7) + 1(5x - 7)}[/tex]
⟶ [tex] \tt{(x + 1)(5x - 7)}[/tex]
[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(x + 1)(5x - 7)}}}}}}[/tex]
Hope I helped ! ♡
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