ax²+3x²-3 and 2x³-5x+k are divided by (x-4) leave same remainder. Find k.
Pls it's very important.
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R1 = a(4)3+ 3(4)2 − 3 = 64a + 45 …(i)
R2 = 2(4)3 − 5(4) + a = 128 − 20 +a = 108 + a …(ii)
Given: 2R1−R2= 0
∴2(64a+45) − (108+a) = 0
(from (i) and (ii))
⇒ 128a + 90 − 108 − a = 0
⇒ 127a = 18
a = 18/127
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