Use synthetic division method for performing following divisions. Write whether the divisor is a factor of divided. Justify

$(3 p^{4} - 4 p^{3} - 3 p - 1) \div (p - 1)$

It is not a factor of dividend

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

It is a factor of dividend

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Cannot be determined

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of above

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A It is not a factor of dividend
$(3 p^{4} - 4 p^{3} - 3 p - 1) \div (p - 1)$
$1$ $+ 3 - 4 + 0 - 3 - 1$
$+ 3 - 1 - 1 - 4$
$+ 3 - 1 - 1 - 4 - 5$
Here remainder is $(- 5)$
Hence,
$(p - 1)$ is not a factor $(3 p^{4} - 4 p^{3} - 3 p - 1)$

Suggest Corrections

Similar questions

-

-

-

\div

-

(3 m^{2} + m - 10) \div (m + 2)

(4 x^{4} + 10 x^{3} - 3 x^{2} + 2 x - 21) \div (x + 3)

(x^{3} - 8) \div (x - 2)

\times

-

-

\div

-

Join BYJU'S Learning Program

$1$	$+ 3 - 4 + 0 - 3 - 1$ $+ 3 - 1 - 1 - 4$
	$+ 3 - 1 - 1 - 4 - 5$