Respuesta :

x³ y² + 8 x y² - 5 x² - 40 = 
= x y² ( x² + 8 ) - 5 ( x² + 8 ) = 
= ( x² + 8 ) ( x y² - 5 )
Answer:
On of the factors is:
C )  ( x y² - 5 )

Answer:

[tex](xy^2-5)\text{ is one factor of above polynomial}[/tex]

Step-by-step explanation:

Given the polynomial

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

we have to select the option which is one of the factor of above polynomial.

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

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

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

[tex]\text{Hence, }(xy^2-5)\text{ is one factor of above polynomial}[/tex]

∴ Option 3 is correct