book Maths Puzzle Numerical Ability

looking for help
Factor
t^2+25 this is N,F or can it be factored
thank you for your time

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book Other Question

The sum of two consecutive integers is 105. Find the integers. Im trying to do my homework, but I dont understand it.

It says y=x(squared)+1

and to find the
Y-intercept:
X-Intercept:
Vertex:
axus of symmetry:

Thanks.