exam Maths Puzzle Numerical Ability

Use the "ac" test to determine if the following trinomial can be factored.
x^2+2x+3

Please show me the steps to determine this. Thank you!

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exam Other Question

f(x)=a
f(a)=3(a)+7

and f(x)= 5x-8
find all x and y intercepts.

Can you show me step by step please thank you.
when ^ means square root

^3(^20+2^8) =

5^12+4^32-5^27 =

4^5/^72 =