Select one of the factors of x3y2 + 8xy2 - 5x2 - 40.
Can someone help me figure this out?

answer choices
(xy2 + 5)

(x2 + 4)

(xy2 - 5)

(x2 - 8)

Question

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Respuesta :

HomertheGenius HomertheGenius · Answer 1 · 2016-12-13T15:55:44+01:00

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 Link

SerenaBochenek SerenaBochenek · Answer 2 · 2019-05-10T11:10:59+02:00

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