Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2
2 answers:
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Answer:
Step-by-step explanation:
See the comment for complete question.
Given
----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
and
Using the above roots, the equation can be represented as:
Open brackets
To compare the above equation to , we have:
Where: and
The values of and
that satisfy
are:
and
and
and
and
So, the possible values of a are:
When and
When and
When and
When and
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is: