SOLUTION: Please help me solve this problem, - Q- {For what values of p and q , the expession X^4 - 14x^3 + 71x^2 + px + q is a perfect square? } I have problem in this type of quest

Question 726930: Please help me solve this problem,
- Q- {For what values of p and q , the expession X^4 - 14x^3 + 71x^2 + px + q is a perfect square? }
I have problem in this type of questions.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There must be some quadratic polynomial that squares to yield
.
Since the leading coefficient in is ,
we know that , but we still have to find and .
By painfully multiplying we find that

If the polynomials and
are the same, then the coefficients are the same

and

The first two equations let us find and .
We can use the last two to calculate and from and .
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