Q8 of 90 Page 2

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

Given x + a is a factor of


So,g(x) = x + a


x + a = 0


⇒x = – a


Putting the value x = – a in the given polynomial, we get


2( – a)2 + 2a( – a) + 5( – a) + 10 = 0


2a2 – 2a2 – 5a + 10 = 0


– 5a + 10 = 0



a = 2


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