find the value of k for which x minus 1 is a factor of polynomial 4 x cube + 3 x square - 4 x + k
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Answered by
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Given
A polynomial
- 4x³+3x²-4x+k
- whose factor is X-1
To find
- Value of k
Solution
From remainder theorem
g(X) = x-1
=>x-1 =0
=>X=1
- Here if we put X =1 then the polynomial become 0
p(X) =4x³+3x²-4x+k
p(1) = 4(1)+3(1)-4(1)+k
=>0=4+3-4+k
=>k=-3
Hence value of k in the given polynomial is s -3
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