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 | 17th May, 2012, 11:48: AM
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.
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 | 17th May, 2012, 12:04: PM
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