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Given x - a is a factor of 2x2 - 2ax + 5x + 10
Now, put x - a = 0
=> x = a in the given polynomial, we get
2 * a2 - 2a * a + 5 * a + 10 = 0
=> 2a2 - 2a2 + 5a + 10 = 0
=> 5a + 10 = 0
=> 5a = -10
=> a = -10/5
=> a = -2
So, the value of a is -2