Can someone give me a step by step guide on how to do this question.

Ffs why is it upside down

>>376587
a) Multiply the right side and collect the terms according to the different powers of x.

3x^2 + 12 x + 5 = a2 x^2 + a1 x + a0

Then compare the coefficients of both sides, they must be equal for every power of x

a2 = 3, a1 = 12, a0 = 5

You get three equations with three unknown variables. Solve this for the three variables p, q, r.

b) you can replace that thanks to a)

p(x+q)^2 + r = 0
(x+q)^2 = -r/q

and so on.

>>376613
correction: (x+q)^2 = -r/p