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10. If (x-1) is a factor of p(x) = x2 + x + k then find the value of k.
Answers
Answered by
17
To Find :
- value of k
Solution :
x - 1 is a factor of given polynomial.
x = 1
Substituting value of x in p(x) :-
›› 1² + 1 + k = 0
›› 1 + 1 + k = 0
›› 2 + k = 0
›› k = -2
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Answered by
100
Given :-
- If (x - 1) is a factor of p(x) = x² + x + k
To Find :-
- Value of k
Solution :-
We have,
‘x - 1’ is a factor of given polynomial so, the value of x is ‘1’
Substituting the value of x in p(x),
Hence, the value of k is - 2.
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