find k if -4 is a zero of x^2+11^x+k.
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Step-by-step explanation:
let f(x) = x²+11x+k
By remainder theorem,
(x+4) = x-(-4)
On putting x=-4 in f(x),we get
(-4)²+ 11(-4)+k =0
= 16 -44 +k =0
=-28 +k =0
Then , According to the question,
= k = 28
Therefore,the value of k= 28
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