Question

Can (x–1) be the reminder on division of a polynomial p(x) by (x+3) ?​

Answer 1

Answer:

No ,

if we divide any polynomial p(x) by (x+3) it will always give and number only as remainder and in question it is written that the remainder is (x-1).

so it is wrong and answer is no

Answer 2

Answer:

In any polynomial division, the degree of the remainder MUST BE LESS THAN the degree of the divisor. Here degree of divisor is 1. So degree of remainder HAS TO BE 0 which means it should just be a real number. Thus, this is not possible.

Note: Degree of a polynomial is the highest exponent of x in that particular polynomial p(x)

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