Question

If x + 2a is a factor of a^5 – 4a^2 x^3 + 2x + 2a + 3, then find the value of a.

Answer 1

Answer:

Let p(x) =a5 -4a2x3 +2x + 2a +3 Since, x + 2a is a factor of p(x), then put p(-2a) = 0 (-2a)5 – 4a2 (-2a)3 + 2(-2a) + 2a + 3 = 0 => -32a5 + 32a5 -4a + 2a+ 3 = 0 => -2a + 3=