Vincent98745
Vincent98745 Vincent98745
  • 23-05-2022
  • Mathematics
contestada

factor 5v^2 - 23v - 10​

Respuesta :

chetankachana
chetankachana chetankachana
  • 23-05-2022

Answer:

[tex](5v + 2)(v - 5)[/tex]

Step-by-step explanation:

Hello!

The expression is written in the form of [tex]ax^2 + bx + c[/tex]

Let's factor by grouping:

[tex]ac = -50[/tex]

The sum of the factors of -50 should add up to -23.

-25 and 2 work for this.

Expand and factor:

  • [tex]5v^2 - 23v - 10[/tex]
  • [tex]5v^2 - 25v + 2v - 10[/tex]
  • [tex]5v(v - 5) +2(v -5 )[/tex]
  • [tex](5v + 2)(v - 5)[/tex]

The factored expression is [tex](5v + 2)(v - 5)[/tex]

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