Question 756298
hello,

Since the trinomial is a square, then the trinomial could be represented in the form (x+a)^2=x^2+2ax+a^2. 

Since we are given that the resulting trinomial is x^2+bx+25, we know that a^2=25, so a=5 or -5. 

Hence, the possible functions are x^2+2(5)+25 or x^2+2(-5)+25. Thus b=2(5) or 2(-5). 

The possible values of b are 10 and -10. 

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