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

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Solution

x – 1 cannot be a remainder on division of a polynomial p(x) by 2x+3. Because degree of the remainder in any case cannot be the same as the degree of the divisor.The maximum degree of remainder can be 1 less than the degree of divisor.

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Similar questions

Q. Can (x-3) be the remainder on the division of a polynomial polynomial p(x) by (2x+5)?justify your answer.

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Question1 (ii)
Answer the following and justify
What will the quotient and remainder be on division of $a x^{2} + b x + c$ by $p x^{3} + q x^{2} + r x + s, p \neq 0$ ?

Q. Question 1 (i)
Answer the following and justify
Can

x^{2} - 1

be the quotient on division of

x 6 + 2 x^{3} + x - 1

by a polynomial in x of degree 5?

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