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

One number is 2 times another. If the sum of their reciprocals is 1/5, find the two numbers. Define variables, set up equation and solve. How do I factor out 2 squared (b-c)-16b squared(b-c)

And 9x squared+12xy+4y squared -25