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