Question

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)

Answer 1

`(xy^2-5)\text{ is one factor of above polynomial}`

Explanation:

Given the polynomial

`x^3y^2+8xy^2-5x^2-40`

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

`x^3y^2+8xy^2-5x^2-40`

`xy^2(x^2+8)-5(x^2+8)`

`(xy^2-5)(x^2+8)`

`\text{Hence, }(xy^2-5)\text{ is one factor of above polynomial}`

∴ Option 3 is correct

Answer 2

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 )