CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Division of a Polynomial by a Polynomial

Find the quot...

Question

Find the quotient obtained when $x^{3} - 3 x^{2} + 3 x - 2$ is divided by $x - 2$ .
(3 marks)

Open in App

Solution

The division is shown below:
(2.5 marks)

Hence, the quotient obtained when $x^{3} - 3 x^{2} + 3 x - 2$ is divided by $x - 2$ is $x^{2} - x + 1$ .
(0.5 marks)

Suggest Corrections

thumbs-up

0

Similar questions

Q. The polynomial which when divided by −x² + x − 1 gives a quotient x − 2 and remainder 3, is

(a) x³ − 3x² + 3x − 5
(b) −x³ − 3x² − 3x − 5
(c) −x³ + 3x² − 3x + 5
(d) x³ − 3x² − 3x + 5

Q. Find the quotient when f(x) = x³ + 3x² + 3x + 5 is divided by g(x) = x + 2. Also, find the remainder.

Q. Find the quotient obtained when

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

x - 2

.

Q. The quotient obtained when

15 x^{6} - 9 x^{4} + x^{3} + 6 x + 12

3 x^{2}

Q. Find the quotient obtained when

x^{4} + x^{3} - 2 x^{2} + x - 1

x - 1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Division of Algebraic Expressions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Division of a Polynomial by a Polynomial

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon