Question

divide 11x-6x⁴+5x²by x+2x²​

Answer 1

Answer:

We divide −11x

2

+5x−4 by (2x−1) as shown in the above image:

From the division, we observe that the quotient is −

2

11

x−

4

1

and the remainder is −

4

17

.

We know that the division algorithm states that:

Dividend=Divisor×Quotient+Remainder

We apply the division algorithm to check the answer as follows:

Dividend=Divisor×Quotient+Remainder

−11x

2

+5x−4=[(2x−1)(−

2

11

x−

4

1

)]−

4

17

−11x

2

+5x−4=−11x

2

−

2

1

x+

2

11

x+

4

1

−

4

17

−11x

2

+5x−4=−11x

2

+

2

10

x−

4

16

−11x

2

+5x−4=−11x

2

+5x−4

Henceverified.