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Question -

For what value of k, is -2 a zero of the polynomial 3x2 + 4x + 2k ? [CBSE 2010]



Answer -

-2 is a zero of the polynomial
f(x) = 3x2 + 4x + 2k
f(-2) = 0
=> 3 (-2)2 + 4 (-2) + 2k = 0
=> 12 – 8 + 2k = 0
=> 4 + 2k = 0
=> 2k = -4
=> k = -2

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