. Find the value of p for which the polynomial
x3 + 4x2 - px + 8 is exactly divisible by (x – 2).
Best Answer
Sol: Put x = 2 in p(x), we have
p(2) = 0
23 + 4(2)2- p(2) + 8 = 0
8 + 16 – 2p + 8 = 0
32 = 2p
or p = 16
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x3 + 4x2 - px + 8 is exactly divisible by (x – 2).
Sol: Put x = 2 in p(x), we have
p(2) = 0
23 + 4(2)2- p(2) + 8 = 0
8 + 16 – 2p + 8 = 0
32 = 2p
or p = 16