Question

What are the factors of 12x3+12x2+3x?

Answer 1

$(12 \times 3) + (12 \times 2) + (3x) \\ 36+ 24 + 3x \\ 60 + 3x \\ 3(20 + x) \\ hence \: its \: factors \: are \:( 3) \: and \:(20 + x)$

Answer 2

${12x}^{3} + {12x}^{2} + 3x \\ 3x( {4x}^{2} + 4x + 1) \\ 3x(2x + 1)(2x + 1) \\ 3x {(2x + 1) }^{2}$

3x=0

=x=0

and (2x + 1) =0

= x = -1/2

these are the factors, hope it helps.