What number should be added to 2x³ 3x² X so that when the resulting polynomial is divided by x 2 The remainder is 3?

Home

What number should be added to 3 x2+7 x so that when the resulting polynomial is divided by x 3 the remainder is 2 ?A. 46B. 30C. 51D. 25

Question

A

-30

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

B

-46

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

C

-51

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

D

-25

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

Open in App

Solution

The correct option is A-46

Suggest Corrections

2

Similar questions

Q.

What number should be added to 3x35x2+6x so that when resulting polynomial is divided by x - 3, the remainder is 8

Q.

Find teh number which should be added to x2+x+3 so that the resulting polynomial is completely divisible by (x+3).

Q.

What number should be added to 3x3 + 2x2 - 7x so that when the resulting polynomial is divided by x - 2, the remainder is 2?


Q. What number should be added to x39x22x+3 so that the remainder may be 5 when divided by (x2).

Q. What is the remainder when the polynomial x32x2+x4 is divided by (x2)? What number is to be added to the given polynomial so that (x2) is a factor of it?

View More

What number should be added to 2x³ 3x² X so that when the resulting polynomial is divided by x 2 The remainder is 3?

Get the answer to your homework problem.

Try Numerade free for 7 days

University of California - Los Angeles

Jennifer J.

Algebra

6 months, 3 weeks ago

We don’t have your requested question, but here is a suggested video that might help.

What polynomial must be added to $3 x^{2}-6 x+9$ so that the sum is $4 x^{2}+3 x-2 ?$

What number should be added to 2x³ 3x² X so that when the resulting polynomial is divided by x 2 The remainder is 3?

Discussion

You must be signed in to discuss.

Video Transcript

So here we're being asked what polynomial must be added. 23 X squared minus six X plus nine to get four x squared plus three x minus two and what we can do when this problem is have for X squared plus three x minus two said Track Teoh, Our first equation, which is three X squared, minus six X plus nine. But sins we are subtracting well, change real change the signs of the terms. So here we will get negative three x squared. This will become positive and this will become negative and evaluating this will give us negative two minus negative minus nine Look, it was negative. 11 three X plus six x will give us nine x and four X squared minus three X squared will give us X squared. So this is our answer. Yeah, we can check this if that is true. So with that, we will get three x squared minus six X plus nine plus X squared plus nine x minus 11. And evaluating this, we will get negative too negative. Three eggs four X squared, which is this equation

What number should be added to 2x³ 3x² X so that the resulting polynomial is divided by x 2 leaves a remainder 3?

Answer: 7 must be added.

What must be added to the polynomial 2x³ 3x² 8x so that it leaves the remainder 10 when divided by 2x 1?

Answer: The number that should be added is 7 .

What number should be added to the following polynomial so that when the resulting polynomial is divided by x 2 The remainder is 3?

Thus, the required number is − 9.

What number must be added to 2 x cube minus 7 x square 2 x resulting polynomial leaves a remainder 2 when divided by 2 x minus 3?

Answer. Hence, 4x-2 is added to the given polynomial p(x) to leave the remainder=(-2).