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Loginhelp solve this qn thankew
2 posts
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y = 2x^2 + px + 16
This curve is a U shaped curve with its roots at 2 and k respectively.
Using Remainder and Factor Theorem
let f(x) = 2x^2 + px + 16
f(2) = 0, f(k) = 0
8 + 2p + 16 = 0
24 + 2p = 0
p = -12
2k^2 - 12k + 16 = 0
k^2 - 6k + 8 = 0
(k - 2)(k - 4) = 0
k = 2 or k = 4
k = 2 is rejected since k must be bigger than 2.
Therefore, k = 4, p = -12
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