If x+2 be a factor of polynomial kx^3 +x^2 -12x-4. Then find the value of k and factorise the polynomial.
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Abdul Kalam, in full Avul Pakir Jainulabdeen Abdul Kalam, (born October 15, 1931, Rameswaram, India—died July 27, 2015, Shillong), Indian scientist and politician who played a leading role in the development of India's missile and nuclear weapons programs. He was president of India from 2002 to 2007.
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Solution :
Since x + 1 is the factor
Remainder = 0
∴ kx − 2x = 0
∴ kx = 2x
∴ k = 2
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