4m2 + 19mn + 12 n2⟹ 4m2 + 16nm + 3mn + 12 n2⟹ 4m(m + 4n) + 3(m + 4n)⟹ (4m + 3) (m + 4n)So (4m + 3) and (m + 4n) are the factors of the given polynomial.

Q. 2 I3.5( 2 Votes )

Find the factors.

Class 8th MHB - Mathematics (Old)22. Factors of Polynomials

Answer :

4m² + 19mn + 12 n²

⟹ 4m² + 16nm + 3mn + 12 n²

⟹ 4m(m + 4n) + 3(m + 4n)

⟹ (4m + 3) (m + 4n)

So (4m + 3) and (m + 4n) are the factors of the given polynomial.

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