Answer and step-by-step explanation:
- The Greatest Common Factor (GCF) of a set of polynomials is the largest monomial that is a factor of all those polynomials.
- To find it easier, we just have to find the common factors of the coefficients first and then the variables.
- One of the ways in solving this faster is we just have to choose the common variable with the lowest exponent as part of the GCF.
10m³n², 30mn³ and 45mn
10 = 1 × 10, 2 × 5
30 = 1 × 30, 2 × 15, 3 × 10, 6 × 5
45 = 1 × 45, 3 × 15, 9 × 5
Therefore, the GCF of the given polynomials is 5mn.
*If you have any questions regarding my answer, please comment below and I will answer them. ^^
