What is 12x3 – 9x2 – 4x + 3 in factored form?

Answer:The factors of the given polynomial [tex]12x^3-9x^2-4x+3[/tex] is [tex](4x-3)(3x^2-1)[/tex] .Step-by-step explanation:Given : Polynomial [tex]12x^3-9x^2-4x+3[/tex]          We have  factorize the given polynomial.Consider the  given polynomial [tex]12x^3-9x^2-4x+3[/tex] .We will factorize using grouping of terms, Taking [tex]3x^2[/tex] common from first two terms and -1 common from last two terms, we have,[tex]3x^2(4x-3)-1(4x-3)[/tex]      Now, again taking (4x-3) common , we have,[tex](4x-3)(3x^2-1)[/tex]      Thus, The factors of the given polynomial [tex]12x^3-9x^2-4x+3[/tex] is [tex](4x-3)(3x^2-1)[/tex] .