Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Find the greatest common factor of the polynomial:
$3 a^2 b^2+4 b^2 c^2+12 a^2 b^2 c^2$
✓
Answer
The numerical coefficients of the given monomials are $3 a^2 b^2, 4 b^2 c^2$ and $12 a^2 b^2 c^2$.
The greatest common factor of $3 a^2 b^2, 4 b^2 c^2$ and $12 a^2 b^2 c^2$ is 1 .
The common literal appearing in the three monomials is b .
The smallest power of $b$ in the three monomials is 2 .
The monomial of common literals with the smallest powers is $b^2$.
Hence, the greatest common factor is $b^2$.
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