happy6676
happy6676 happy6676
  • 26-09-2020
  • Mathematics
contestada

factor this trinomial: 5x^2+17x+6

Respuesta :

Sueraiuka
Sueraiuka Sueraiuka
  • 26-09-2020

Step-by-step explanation:

Hey there!

Given;

[tex] = 5 {x}^{2} + 17x + 6[/tex]

Solve it through mid-term factorization.

[tex] = 5 {x}^{2} + (15 + 2)x + 6[/tex]

Simplify it.

[tex] = 5 {x}^{2} + 15x + 2x + 6[/tex]

[tex] = 5x(x + 3) + 2(x + 3)[/tex]

[tex] = (5x + 2)(x + 3)[/tex]

Therefore the factors are; (5x+2) (x+3).

Hope it helps...

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