CBSE Class 9 Answered
(3)if polynomial; ax3+3x2-3 and 2x3-5x+a leaves the remainder when each is divided by x-4 find the value of a.
Asked by | 31 Jul, 2011, 03:02: AM
Expert Answer
The remainder theorem tells us that if a polynomial p(x) is divided by (x-a) then the remainder is equal to p(a).
So, from the given information, we have:
a(4)3 + 3(4)2 - 3 = 2(4)3 - 5(4) + a
64a + 48 - 3 = 128 - 20 + a
63a = 63
a = 1
Thus, the value of a is 1.
Answered by | 31 Jul, 2011, 03:34: AM
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