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how to factor 10m² - 7m3​

Sagot :

Wynliviaidn

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. ^^