Question

गणितीय आकारों के नाम बताए​

Answer 1

Explanation:

We divide

3x

3

+

4x

2

+

x+

7

by

(x

2

+

1)

as shown in the above image:

From the division, we observe that the quotient is

3x+

4

and the remainder is

−2x+

3

.

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+

Remainder3x

3

+4x

2

+x+

7=

[(x

2

+1)(3x+4)]−

2x+33x

3

+4x

2

+x+

7=

(3x

3

+

4x

2

+

3x+4)−2x+33x

3

+4x

2

+x+

7=

3x

3

+

4x

2

+

3x−2x+4+33x

3

+4x

2

+x+

7=

3x

3

+

4x

2

+

x+7Henceverified.