Answer with Step-by-step explanation:
Monomial factor is the greatest common factors of the terms in the given expression.
Monomial factoring:
1) 12x² - 9x + 15
Greatest Monomial Factor: 3
Factor out 3: (3)(4x² - 3x + 5)
2) 3n³ - 12n² - 30n
Greatest Monomial Factor: 3n
Factor out 3n: (3n)(n² - 4n - 10)
3) 9m² - 4n +12
Greatest Monomial Factor: None
4) 2x³ - 3x² + 5x
Greatest Monomial Factor: x
Factor out x: (x)(2x² - 3x + 5)
5) 13m + 26m ² - 39m³
Greatest Monomial Factor: 13m
Factor out 13m: (13m)( 1 + 2m - 3m² )
6) 18m²n⁴ - 12m²n³ + 24m²n²
Greatest Monomial Factor: 6m²n²
Factor out 6m²n²: (6m²n²) (3n² - 6n + 4)