Question

Help pls
Factor completely. 5x2-2x - 7​

Answer 1

Explanation:

`\tt{5 {x}^(2) - 2x - 7}`

Find the two numbers that multiply to get 35 and subtract to get 2. The two numbers should be 5 & 7.

⟶
`\tt{5 {x}^(2) - (7 - 5)x - 7}`

Distribute x through the parentheses

⟶
`\tt{5 {x}^(2) - 7x + 5x - 7}`

⟶
`\tt{ \underbrace{5 {x}^(2) - 7x } \: + \underbrace{5x - 7}}`

⟶
`\tt{x(5x - 7) + 1(5x - 7)}`

⟶
`\tt{(x + 1)(5x - 7)}`

`\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(x + 1)(5x - 7)}}}}}}`

Hope I helped ! ♡

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