25oconner 25oconner
  • 17-02-2022
  • Mathematics
contestada

6w^3+4w^2+3w+2

factor the polynomial

Respuesta :

semsee45
semsee45 semsee45
  • 17-02-2022

Answer:

[tex](3w+2)(2w^2 + 1)[/tex]

Step-by-step explanation:

[tex]6w^3+4w^2+3w+2[/tex]

[tex]\implies (6w^3+4w^2)+(3w+2)[/tex]

Factor out [tex]2w^2[/tex] from first parentheses and 1 from second:

[tex]\implies 2w^2(3w+2) + 1(3w+2)[/tex]

Factor out common term [tex](3w+2)[/tex]:

[tex]\implies (3w+2)(2w^2 + 1)[/tex]

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