exam Maths Puzzle Numerical Ability

while using ac test determine if the following trinomial can be factored. if so how do you find the value of m and n
3x^2+11x-4

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exam Other Question

How do I completely factor the polynomial x^2-6x-27 D = C-s/N (for s)

I have searched throughout the chapter for a process to solve this literal equation. I do not understand how to handle the fraction in the middle.