For problems 1-30, factor completely each of the trinomials and indicate any that are not factorable using integers. (Objective 1)
The given expression .
To factor trinomials of the form , we use the following procedure:
Let us consider a product .
Using the distributive property of multiplication, we get
From the above, we find that the product of yields a trinomial of the form .
It must be noted that the middle term is the sum of and and the last term is the product of and .
These two relationships can be used for factoring trinomials of the form .
We need to complete the following with two integers whose sum is and whose product is
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