answer the following if one zero of quadratic polynomial x square+3x+k is 2,then fid the value of k.
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Given :-
- Quadratic polynomial ; x² + 3x + k.
- One zero of quadratic polynomial is 2.
To Find :-
- Value of k.
Solution :-
Let the given quadratic polynomial be ;
⭐ f(x) = x² + 3x + k
Given, One zero of quadratic polynomial is 2.
⭐ f(2) = 0
Put x = 2 in f(x) , We get ;
f(2) = 2² + 3(2) + k
[ °.° f(2) = 0 ]
0 = 4 + 6 + k
0 = 10 + k
k = -10
Hence,
- The value of k is -10.
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