NicolasWelch1613 NicolasWelch1613
  • 02-01-2020
  • Mathematics
contestada

Select one of the factors of x3y2 + 8xy2 + 5x2 + 40.
a) (xy2 + 5)
b) (x2 + 4)
c) (xy2 − 5)
d) (x2 − 8)

Respuesta :

pinquancaro pinquancaro
  • 03-01-2020

Answer:

Option a - [tex]xy^2+5[/tex]

Step-by-step explanation:

Given : Polynomial [tex]x^3y^2+8xy^2+5x^2+40[/tex]

To find : Select one of the factors of polynomial ?

Solution :

The polynomial  [tex]x^3y^2+8xy^2+5x^2+40[/tex]

We factor of above polynomial by taking common terms,

[tex]xy^2(x^2+8)+5(x^2+8)[/tex]

[tex](xy^2+5)(x^2+8)[/tex]

From the given options,

[tex]xy^2+5[/tex] is one of the factors of polynomial.

Therefore, option a is correct.

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