Answer:
[tex](2x^2+3)(x+4)[/tex].
Step-by-step explanation:
[tex]2x^3+8x^2+3x+12[/tex]
We need to find the factors of given equation;
Solution:
On Solving the above equation we get;
Now First we will take common factor from first 2 terms which is [tex]2x^2[/tex] we get;
[tex]2x^2(x+4) + 3x+12[/tex]
Now we will take the common factor from the last 2 terms which is 3 we get;
[tex]2x^2(x+4) + 3(x+4)[/tex]
Here we get 2 terms in which [tex](x+4)[/tex] is common factor.
[tex](x+4)(2x^2+3)[/tex]
Hence After factorizing the given equation we get [tex](2x^2+3)(x+4)[/tex].
