Question

can (x-1) be the remainder on division of a polynomial p(x) by (x+3).Justify your answer.
Best answer will be marked as brainlest..

Answer 1

Hii There!!!

✔️By using Euclid's division algorithm we know that, a = b × q + r

Where,

⭐divident ( a ) = p ( x )

⭐Divisior ( b ) = ( x + 3 )

Here, we can see that degree of divisior = 1 ---i)

⭐Also, remainder or r ( x ) => ( x - 1 ) [ given ]


So, degree of remainder = 1 ------ ii)


So, equation i) = equation ii) so it is possible.

Hence, we can conclude that ( x - 1 ) is not a remainder of p ( x ).



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