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# CBSE Class 9 Answered

The polynomials ax3+3*2-3 and 2*3-5x+a when divided by (x-4) leave the same remainder , find the value of 'a'.
Asked by | 17 May, 2012, 11:48: AM Expert Answer

Let       f(x) = ax3 + 3x2  3

and      g(x) = 2x3  5x + a

f(4) = a x 43 + 3 x 42  3

= 64a + 48  3

= 64a + 45

g(4) = 2 x 43  5 x 4 + a

= 128  20 + a

= 108 + a

It is given that:

f(4) = g(4)

64a + 45 = 108 + a

64a  a = 108  45

63a = 63

a = 63/ 63 = 1

The value of a is 1.
Answered by | 17 May, 2012, 12:04: PM

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