Math, asked by afzalhusain44, 11 months ago

divide:- x^2-3x+2 by x-1​

Answers

Answered by yeshapradeep200
0

Answer:

The Quotient Poly.

=

x

2

x

4

.

The Remainder=

2

.

Explanation:

We can perform the Long Division and get the Quotient and the

Remainder. But, here is another way to solve the Problem.

Suppose that, when

P

(

x

)

=

x

3

2

x

2

3

x

+

2

is divided by

(

x

1

)

, the Quotient Poly. is

Q

(

x

)

and the remainder

R

.

Note

that, since the divisor

9

x

1

)

is a Linear Poly., the Remainder has

to be a constant.

The well-known relation btwn.

P

(

x

)

,

Q

(

x

)

,

(

x

1

)

and

,

R

is

given by,

P

(

x

)

=

(

x

1

)

Q

(

x

)

+

R

,

i.e.,

x

3

2

x

2

3

x

+

2

=

(

x

1

)

Q

(

x

)

+

R

...

...

...

...

...

...

...

...

(

)

Sub.ing,

x

=

1

in

(

)

,

1

2

3

+

2

=

(

1

1

)

Q

(

x

)

+

R

R

=

2

.

Then, sub.ing

R

=

2

in

(

)

,

x

3

2

x

2

3

x

+

2

=

(

x

1

)

Q

(

x

)

2

,

or

,

x

3

2

x

2

3

x

+

4

=

(

x

1

)

Q

(

x

)

Q

(

x

)

=

x

3

2

x

2

3

x

+

4

x

1

=

x

3

x

2

x

2

+

x

4

x

+

4

x

1

=

x

2

(

x

1

)

x

(

x

1

)

4

(

x

1

)

x

1

=

(

x

1

)

(

x

2

x

4

)

(

x

1

)

Q

(

x

)

=

x

2

x

4

.

Answered by Anonymous
2

Answer:

I hope it is helpful..................

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