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Question -

If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
(a) 10
(b) -10
(c) 5
(d) -5



Answer -

(b) Let the given quadratic polynomial be P(x) = x2 + 3x + k
It is given that one of its zeros is 2
P(2) = 0
=> (2)
2 + 3(2) + k = 0=> 4 + 6 + k = 0
=> k + 10 = 0 => k = -10

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