Factor out the greatest common factor from the polynomial .?

Question

36x^2 + 6x

4x^2 + 9x


im just not sure what the question means and there is like 30 questions so dont say i have people doing my HW.

Thanks

Answer 1

To Factor out the greatest common factor you have to find the The biggest number that goes into both of those and basically every other polynomial.

1. So 36x^2 + 6x Think about it. 36 and 6. Looks like the greatest common factor is 6 because 6*1=6 and 6*6=36
and x^2 and x. The greatest common factor is x because x*1=x and x*x=x^2 . So all you do is write it like the 6x(x+6)

2. So 4x^2+9x Think about it again seems like there is no GCF but their is since 4 and 9 don't go into each other at all. Look at the x terms x^2 and x they go into each other once so it is x (look at the above one same thing for the x's). So the answer is x(4x+9)

Answer 2

the greatest polynomisl in the first is 6x
the greatest in the second is x
if you need help use your math book or try the internet type in factoring polynomials try math.com or purplemath.com either of these could help you learn what you are doing

Answer 3

36x^2+6x

6x(6x+1)

4x^2+9x

x(4x+9)

Answer 4

6x(6x+1)

x(4x+9)