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Question
Find the values of a and b if the following polynomial is a perfect square
4x4 – 12x3 + 37x2 + bx + a
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Solution
Since it is a perfect square
b + 42 = 0
b = – 42
a – 49 = 0
a = 49
∴ The value of a = 49 and b = – 42
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