if(x+a)is a factor of 2x2+2ax+5x+10,Find 'a'?

Asked by PRASHANTH VASUDEVAN | 26th Jun, 2011, 08:03: PM

Expert Answer:

Let f(x) = 2x2+2ax+5x+10
It is given that (x+a) is a factor of f(x). So, by factor theorem, f(-a) = 0.
f(-a) = 2a2-2a2-5a+10 = 0
-5a + 10 = 0
This gives, a = 2

Answered by  | 26th Jun, 2011, 03:01: PM

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