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.
3x² - 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.
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