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Asked by  | 20th Feb, 2010, 11:09: AM

Expert Answer:

If 2/3 is a zero, of the given polynomial, then we put, x = 2/3

4a/9 + 14/3 + b = 0

36a + 14x3 + 9b = 0

36a + 9b = - 42  .............(1)

Also -3 is a root, it gives

9a + b = 21  .............(2)

(1) - 9(2) gives,

36a - 81a = -42 - 189

a = 231/45 = 77/11

Hence,

b = 21 - 77x9/11 = (231 - 693)/11 = 462/11 = 42

Regards,

Team,

TopperLearning.

 

Answered by  | 20th Feb, 2010, 11:55: AM

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