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Question
If on dividing 4x2 – 3kx + 5 by x + 2, the remainder is – 3 then the value of k is
Options
4
– 4
3
– 3
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Solution
f(x) = 4x2 – 3kx + 5
g(x) = x + 2
Remainder = – 3
Let x + 2 = 0, then x = – 2
Now remainder will be
f(–2) = 4(–2)2 – 3k(–2) + 5
= 16 + 6k + 5
= 21 + 6k
∴ 21 + 6k = –3
⇒ 6k = –3 – 21
= –24
⇒ k = `(-24)/(6)` =–4
∴ k = –4.
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