Find the value ofafor which the function has repeated factors.

If is the repeated root, is the factor

___(1)

___(2)

This is as far as I got.

Thanks!

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- Sep 9th 2010, 11:58 PMarzeRepeated factors
Find the value of

*a*for which the function has repeated factors.

If is the repeated root, is the factor

___(1)

___(2)

This is as far as I got.

Thanks! - Sep 10th 2010, 12:28 AMOpalg
That is a good way to start the problem. To continue, divide your equation (2) by 2, then multiply it by and subtract the resulting equation from equation (1). That will get rid of the terms containing , leaving you with a cubic equation for (for which you ought to be able to spot one of the roots).