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