If (x + a) is a factor of 2x2 + 2ax + 5x + 10, find a.


Given,


2x2 + 2ax + 5x + 10


Factor = (x + a)


Now by using factor theoram we get,


f( – a) = 2a2 – 2a2 – 5a + 10 = 0


– 5a + 10 = 0


a = 2


Therefore the value of a = 2.


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