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what are the greatest common monomial factor of 3x² - 9x³ + 15x ⁵​

Sagot :

Answer and step-by-step explanation:

  • The Greatest Common Monomial Factor (GCMF) 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.

3 - 9x³ + 15x⁵

3 = 1 × 3

-9 = 1 × -9, -1 × 9, 3 × -3

15 = 1 × 15, 3 × 5

Therefore, the GCF of the given polynomial is 3x².

*If you have any questions regarding my answer, please comment below and I will answer them. ^^