1.

Find whether 2a^3+a^2-5a+2 is divisible completely by 2a+3 or not

Answer»

Here, f(X)= x^3 + ax^2- 2X + a + 4
And, g(x)= x + a

We have, x + a = 0
=> x = -a

Now, PUT the value thus found into f(x) function
f(-a) = (-a)^3 + a(-a)^2 - 2(-a) + a + 4 =0

=> -a^3 + a^3 + 2A + a = -4

=> 3a = -4

=> a = -4/3


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