Question

divide 1-x+x²by1-x⁶ give me the answer.​

Answer 1

Answer:

No, x

2

−1 cannot be the quotient on division of x

6

−2x

3

+x−1 by a

polynomial in degree 5 because the degree of the product of the

quotient and the divisor should be equal to the power of the dividend.

Here, the degree of the product of the quotient and the divisor is 7. But the degree of x

6

−2x

3

+x−1 is 6

Answer 2

Step-by-step explanation:

Solution.

Let divisor of a polynomial in x of degree 5 is =

Quotient =

Dividend =

According to division algorithm if one polynomial p(x) is divided by the other polynomial

, then the relation among p(x), g(x), quotient q(x) and remainder r(x) is given by

i,e. Dividend = Divisor × Quotient + Remainder

Remainder

Remainder

Here it is of degree seven but given dividend is of degree six.

Therefore

can not be the quotient of

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