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Question

When p(x)=x3ax2+x is divided by (x+a), the remainder is
(a) 0
(b) a
(c) 2a
(d) 3a


Solution

By remainder theorem, when p(x)=x3ax2+x is divided by (x – a), then the remainder = p(a).
Putting x = a in p(x), we get
p(a)=a3a×a2+a=a3a3+a=a
∴ Remainder = a
Hence, the correct answer is option (b)


Mathematics
Secondary School Mathematics IX
Standard IX

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