RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 7 of Exercise 2.3

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7

What must be added to the polynomial so that the resulting polynomial is exactly divisible by ?


By division Algorithm we have,




From above relation we got that if we add then resulting polynomial is divisible by .


Now find the remainder when is divisible by .




Therefore has to be added so that resulting polynomial is divisible by


Chapter Exercises

Exercise 2.1
Exercise 2.2
Exercise 2.3
CCE - Formative Assessment

More Exercise Questions

1

Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x) by g(x) in each of the following:

(i)


(ii)


(iii)


(iv)

2

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm:

(i)


(ii)


(iii)

3

Obtain all zeros of the polynomial , if two of its zeros are -2 and -1.
4

Obtain all zeros of if one of its zeros is -2.
5

Obtain all zeros of the polynomial if two of its zeros are and .
6

Find all zeros of the polynomial it its two zeros are and .
7

What must be added to the polynomial so that the resulting polynomial is exactly divisible by ?
8

What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by ?
9

Find all the zeros of the polynomial , if two of its zeros are 2 and-2.
10

Find all zeros of the polynomial , if two of its zeros are and .
11

Find all the zeros of the polynomial , if two of its zeros are and .
12

Find all the zeros of the polynomial , if two of its zeros are and .

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