(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  | 31st 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  | 31st Jul, 2011, 03:34: AM

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