Question

What’s the greatest common factor of 12x^2+9x^3-6x^4

Answer 1

$12x^2+9x^3-6x^4\\\\LCD(12,\ 9,\ 6)=3\\\\LCD(x^2,\ x^3,\ x^4)=x^2\\\\12x^2=(3x^2)(4)\\9x^3=(3x^2)(3x)\\-6x^4=(3x^2)(-2x^2)\\\\GCF\ of\ 12x^2+9x^3-6x^4\ is\ equal\ \boxed{3x^2}\\\\12x^2+9x^3-6x^4=(3x^2)(4+3x-2x^2)$