Question

Find the common factor from terms of the polynomial expression
$35a^2{b}^4+21a{b}^3+7a^{2}b+49a^2{b}^6$.

Answer 1

Given: $35a^2{b}^4+21a{b}^3+7a^{2}b+49a^2{b}^6$
To find: Common factor

In the giben expression, the minimum power of $a$ is 1 and the minimum power of$b$ is 1.
Also, the common factor among the coefficients of the terms in the given expression is 7.
Hence,
$35a^2{b}^4+21a{b}^3+7a^{2}b+49a^2{b}^6=7ab(5a{b}^3+3b^2+a+7a{b}^5)$

So the common factor for the given expression is $7ab$