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Question

If ax3+4x2+3x−4andx3−4x+a leaves same remainder when divided by (x - 3) the value of -a is

A
composite number
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B
prime number
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C
neither composite nor prime
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D
an integer
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Solution

The correct option is C neither composite nor prime
p(x)=ax3+4x2+3x4
g(x)=x34x+a
remainder when p(x) is divided by (x3)=p(3)=27a+36+94=27a41
remainder when g(x) is divided by (x3)=g(3)=2712+a=15+a
so 27a41=15+a
a=5641

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