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Question -

For what value of k, is -3 a zero of the polynomial x2 + 11x + k ? [CBSE 2010]



Answer -

-3 is a zero of polynomial f(x) = x2 +11x + k
It will satisfy the polynomial
f (x) = 0 => f(-3) = 0
Now x2 + 11x + k = 0
=> (-3)2+ 11 x (-3) + k = 0
9 – 33+ k = 0
-24 +k = 0
k = 24

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