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Question
Find the values of m and n if the following polynomial is a perfect square
x4 – 8x3 + mx2 + nx + 16
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Solution
Since it is a perfect square
m – 16 – 8 = 0
m – 24 = 0
m = 24
n + 32 = 0
n = – 32
∴ The value of m = 24 and n = – 32
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