SOLUTION: Find all real values of s such that x^2 + sx + 144 - 6x + 3x^2 is the square of a binomial.

Question 1209150: Find all real values of s such that x^2 + sx + 144 - 6x + 3x^2 is the square of a binomial.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

=

In the simplified polynomial, the leading term is , so the leading term of the square root is = .

The constant term of the simplified polynomial is 144, so the constant term of the square root is = .

So the possible square root polynomials are and .

so for one solution we have

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so for a second solution we have

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ANSWERS: s=54 and s=-42

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