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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Find the greatest common factor of the polynomial:
$36 a^2 b^2 c^4, 54 a^5 c^2, 90 a^4 b^2 c^2$
✓

Answer

The numerical coefficients of the given monomials are 36, 54 and 90 .
The greatest common factor of 36,54 and 90 is 18.
The common literals appearing in the three monomials are a and c.
The smallest power of a in the three monomials is 2 .
The smallest power of c in the three monomials is 2 .
The monomial of common literals with the smallest powers is $a ^2 c ^2$.
Hence, the greatest common factor is $18 a^2 c^2$.

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