exam Maths Puzzle Numerical Ability

Four letters and envelopes are addressed to four different people. If the letters are randomly inserted into the envelopes, what is the probability that(a) exactly one is inserted and (b) at least one is inserted in the correct envelope

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Please help me to solve.

State which method should be applied as the first step for factoring the polynomial.
6x3 + 9x

should I find GCF first, group the terms or use the ac (trial and error) method? thanks for your time.
Find the domain and range for the function. Use interval notation.

f(x)= (x^2 + x - 12)/(x-3)