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Question
Write the coefficient of x2 in the following:
(2x – 5)(2x2 – 3x + 1)
Solution
Let p(x) = (2x – 5)(2x2 – 3x + 1)
= 2x(2x2 – 3x + 1) – 5(2x2 – 3x + 1)
= 4x3 – 6x2 + 2x – 10x2 + 15x – 5
= 4x3 – 16x2 + 17x – 5
Hence, the coefficient of x2 in p(x) is –16.
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