Answer and step-by-step explanation:
- To factor the given polynomial, we have to find the GCF first.
- 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.
Note: This symbol (^) means the number after it is an exponent.
10m^2 - 7m^3
10 = 1 × 10, 2 × 5
-7 = 1 × -7, -1 × 7
GCF: 1m^2 or m^2
Then use the GCF to divide each term of the given polynomial.
10m^2 ÷ m^2 = 10
-7m^3 ÷ m^2 = -7m
Then put all of them together again to make the factor.
Therefore, the factors are (m^2)(10 - 7m).
*If you have any questions regarding my answer, please comment below and I will answer them. ^^
