Can (x-7) be the remainder on division of polynomial p(x)by (7x+2). Justify your answer

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Solution

(x-7) cannot be a remainder on division of a polynomial p(x) by 7x+2. Because degree of the remainder in any case cannot be the same as the degree of the divisor and degree of remainder[x-7] should be less than divisor.[7x+2]

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