Question

Find the value of a, if x-a is a factor of the polynomial 〖2x〗^4-a^2 x^2+4x-6a

Answer 1

Answer:

Step-by-step explanation:

now x - a is a factor

now  = x -a = 0

x = a

now p[x] = 2x⁴ -a²x² + 4x - 6a = 0

         p [a] = 2a⁴ - a² x a² + 4a -6a =0

                  = 2a⁴ - a⁴ - 2a = 0

                  = a⁴-2a = 0

                  = a (a³ - 2) =0

                  = a = 0 and a = ∛2