I think you're trying to say 6x^6-4x^5+9x-6. ^ Is a symbol that means the number after it is an exponent. First step, find the gcf (greatest common factor) between the first two parts. The gcf of 6x^6-4x^5 is 2x^5. Now take it out. You get 2x^5(3x-2) If you expand that equation, you will get 6x^6-4x^5 which is why you know it's correct. Now do the same for the second half. The gcf for the second two parts is 3. 3(3x-2) Notice anything? Yep, in both of them, after you take out the gcf, you get (3x-2) Now, you combine them into one equation 2x^5(3x-2)+3(3x-2) Then you do this (2x^5+3)(3x-2) That's your factored form.