Question

Find the value of a for which (x + 2a) is a factor of (x5 - 4a ²x³ + 2x + 2a +3).​

Answer 1

Answer:

Hi !

here is your answer,

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