Question
Find the greatest common factor of the polynomial:
$5 a^4+10 a^3-15 a^2$
$5 a^4+10 a^3-15 a^2$
✓
Answer
The numerical coefficients of the given monomials are $5a^4, 10a^3$ and $15a^2$.
The greatest common factor of $5a^4, 10a^3$ and $15a^2$ is $5.$
The common literal appearing in the three monomials is a.
The smallest power of a in the three monomials is $2.$
The monomial of common literals with the smallest powers is $a^2$.
Hence, the greatest common factor is $5a^2$.
The greatest common factor of $5a^4, 10a^3$ and $15a^2$ is $5.$
The common literal appearing in the three monomials is a.
The smallest power of a in the three monomials is $2.$
The monomial of common literals with the smallest powers is $a^2$.
Hence, the greatest common factor is $5a^2$.
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