If one zero of the polynomial x2 – 8x + k exceeds the other by 2, fi – InterviewSolution

1.

If one zero of the polynomial x2 – 8x + k exceeds the other by 2, find thevalue of k.

Answer»

4-8(4)+k=04-32+k=0-28+k=0k=28

let one zeros= a 2nd zeros= a+2sum of zeros (a+a+2)=82a=6 so a=3 product of zeros a(a+2)=k3(3+2)=k3×5=k15=k

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