If x + 2a is a factor of a^5 -4a^2x^3 +2x + 2a +3, then find the value of a.
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Answered by
2
Answer:
f(1) and f(−a) both are equal to 0 by factor theorem.
∴ f(1)=1+2+a+b=0 and f(−a)=−a
3
+2a
2
−a
2
+b=0
∴ a+b=−3 and −a
3
+a
2
+b=0
Thus, on solving two equations we get, a=−1 and b=−2
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