Answer: D) [tex](12x+13)^2[/tex]
Step-by-step explanation:
The given polynomial : [tex]144x^2 + 312x + 169[/tex]
We can write the above expression as :
[tex](12x)^2+2(12x)(11)+(13)^2[/tex]
Using identity [tex]a^2+2ab+b^2=(a+b)^2[/tex], we have a= 12x , b=11
[tex]\Rightarrow\ (12x)^2+2(12x)(11)+(13)^2=(12x+13)^2[/tex]
Hence, factors of the given polynomial will be [tex](12x+13)^2[/tex].
Thus , the correct answer is option (D).
