Question

Find the Greatest Common Factor from a polynomial

$15m^4+6m^{2}n$

Short answer

Ans: The Greatest common factor of $15m^4+6m^{2}n$is: localid="1647774041764" $3m^2(5m^2+2n)$

Step-by-step solution

Step 1. Given information

given expression,

$15m^4+6m^{2}n$

Step 2. Factorize the given expression 15m4+6m2n

Factor is,

$15m^4+6m^{2}n=3m^2(5m^2+2n)$

Step 3. Greatest common factor:

Therefore, $3m^2(5m^2+2n)$is a common factor of expression $15m^4+6m^{2}n$