KalypsoD511021 KalypsoD511021
  • 03-11-2022
  • Mathematics
contestada

Factor the polynomial: s^2+ 12s + 32

Respuesta :

EliyanaT287473 EliyanaT287473
  • 03-11-2022

SOLUTION

We want to factor the polynomial

[tex]s^2+12s+32[/tex]

To do this we look for two values with s such that when we multiply them, we get 32 and when we add then we get the middle item 12s.

These are 8s and 4s because

[tex]\begin{gathered} 8s+4s=12s \\ 8s\times4s=32s^2 \end{gathered}[/tex]

Now we replace 8s and 4s with the middle item and factorize, we have

[tex]\begin{gathered} s^2+12s+32 \\ s^2+8s+4s+32 \\ s(s+8)+4(s+8) \\ (s+4)(s+8) \end{gathered}[/tex]

Hence the answer is

(s + 4) (s + 8)

Answer Link

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