CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Synthetic Division of Polynomials

Find the quot...

Question

Find the quotient and remainder using synthetic division.
$(8 x^{4} - 2 x^{2} + 6 x - 5) \div (4 x + 1)$

Open in App

Solution

Divisor $= 4 x + 1$
$Z e r o = \frac{- 1}{4}$
Hence the quotient $= 8 x^{3} - 2 x^{2} + \frac{3}{2} x + \frac{51}{8}$
Remainder $= \frac{- 211}{32}$

Suggest Corrections

thumbs-up

0

Similar questions

Find the quotient and remainder of the given expression,

(8 x^{4} - 2 x^{2} + 6 x - 5) \div (4 x + 1)

Q. Find the quotient and remainder using synthetic division.

(6 x^{4} - 29 x^{3} + 40 x^{2} - 12) \div (x - 3)

Q. Find the quotient and remainder using synthetic division.

(4 x^{3} - 16 x^{2} - 9 x - 36) \div (x + 2)

Q. A polynomial p(x) is divided by (2x - 1). The quotient and remainder obtained are

(7 x^{2} + x + 5)

and 4 respectively. Find p(x).
OR
Find the quotient and remainder using synthetic division.

(3 x^{3} - 2 x^{2} + 7 x - 5) \div (x + 3)

Q. Find the quotient and remainder using synthetic division.

(x^{3} - x^{2} - 3 x + 5) \div (x - 1)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Living Things Grow

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Synthetic Division of Polynomials

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon