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Verified Answer :

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:

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

Step-by-step 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