15. Find the value of a for which (x + 2a) is a factor of (x ^5 - 4a ^2 x^3 + 2x + 2a + 3).
by using factor theorem
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given
x + 2a = 0
=> x = - 2a
so we get x = -2a
now set in
( -2a )^5 - 4. a^2 .( -2a )^3 + 2 ( -2a ) + 2a + 3
=> - 32a^5 + 32a^5 - 4a + 2a + 3
=> -4a + 2a + 3
=> - 2a +3
now
- 2a + 3 =0
=> a = -3/-2 = 3/2
value of a is = 3/2
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