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we are given
We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6
now, we will check each terms
At x=-2:
We can use synthetic division
we get
so, x+2 will be factor
and we can write our expression from synthetic division as
now, we can find factor of remaining terms
we can use quadratic formula
we can compare our equation with quadratic equation
we get
now, we can plug these values
so, we get
so, we can write factor as
so, we get completely factored form as
...............Answer
