Answer: 169
Step-by-step explanation:
A perfect square trinomial is written as [tex]ax^2+2abx+b^2[/tex], where
first term [tex]ax^2[/tex]= square of first term of binomial
second term=[tex]2abx[/tex]=twice the product of both terms of binomial.
and third term [tex]b^2[/tex]=square of last term of binomial
In the given polynomial [tex] x^2+26x+?, a=1[/tex]
[tex]2ab=26\\\Rightarrow2(1)b=26\\\Rightarrow b=13[/tex]
Hence, in place of the question mark makes the given polynomial a perfect square trinomial =[tex]b^2=13^2=169[/tex]
