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

Long Division Method to Divide Two Polynomials

If 5x2+14x+...

Question

If $(5 x^{2} + 14 x + 2)^{2} - (4 x^{2} - 5 x + 7)^{2}$ is divided by $x^{2} + x + 1$ , what is the remainder?

x - 1

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

x + 1

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

- 1

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

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

Open in App

Solution

The correct option is D 0
Given expression $= 9 (x^{2} + x + 1) (x^{2} + 19 x - 5)$ .
$∴$ when this is divided by $x^{2} + x + 1$ , the remainder is zero.

Suggest Corrections

Similar questions

(5 x^{2} + 14 x + 2)^{2} - (4 x^{2} - 5 x + 7)^{2}

(x^{2} + x + 1)

q

r

{(5 x^{2} + 14 x + 2)}^{2} - {(4 x^{2} - 5 x + 7)}^{2}

x^{2} + x + 1

q

r

If $({5 x}^{2} + 14 x + 2)^{2}$ – $({4 x}^{2} - 5 x + 7)^{2}$ is divided by $(x^{2} + x + 1)$ , then quotient q and remainder r are given by:

3 x^{3} + 4 x^{2} - 5 x + 8

x - 1

4 x^{2} + a + 1

0

x + 1

a

Join BYJU'S Learning Program