98 POINTS QUESTION!!!!!!!!!
Find the value of 'a' for which (x - a) is a factor of the polynomial x⁵- a³x² + 2x + a - 3.
(Please provide the division method if necessary or used)
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if x-a is a factor of the given equation then it should satisfy x-a=0 I.e x=a
hence by substituting x=a in given equation we get a^5-a^3(a^2) +2a +a -3 = 0
a^5-a^5+3a-3 = 0
3a-3 = 0
a=1
hence the value of a is 1
hence by substituting x=a in given equation we get a^5-a^3(a^2) +2a +a -3 = 0
a^5-a^5+3a-3 = 0
3a-3 = 0
a=1
hence the value of a is 1
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