### Chapter 2: Polynomials

Q&A -Ask Doubts and Get Answers

Q
##### Polynomials CBSE NCERT Solutions

Question:

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

(i) 1/4  , 1                                        (ii)   , 1/3                                  (iii) 0,

(iv) 1, 1                                          (v) -1/4,  1/4                                 (vi) 4,1

Answer:

Solutions:

(i) 1/4  , 1

Given, the sum of zeroes    is 1/4   and the product of zeroes    is 1.

We know that the quadratic equation formula is  – (sum of the root)  + (product of root) = 0.

Substitute the given values in the formula, we get

Hence, the quadratic polynomial is  .

(ii)   , 1/3

Given, the sum of zeroes    is    and the product of zeroes    is 1/3.

We know that the quadratic equation formula is   – (sum of the root)  + (product of root) = 0.

Substitute the given values in the formula, we get

Hence, the quadratic polynomial is  .

(iii) 0,

Given, the sum of zeroes    is 0   and the product of zeroes    is .

We know that the quadratic equation formula is   – (sum of the root)  + (product of root) = 0.

Substitute the given values in the formula, we get

Hence, the quadratic polynomial is  .

(iv) 1, 1

Given, the sum of zeroes    is 1   and the product of zeroes    is 1.

We know that the quadratic equation formula is   – (sum of the root)  + (product of root) = 0.

Substitute the given values in the formula, we get

Hence, the quadratic polynomial is   .

(v) -1/4 1/4

Given, the sum of zeroes    is -1/4   and the product of zeroes    is 1/4.

We know that the quadratic equation formula is   – (sum of the root)  + (product of root) = 0.

Substitute the given values in the formula, we get

Hence, the quadratic polynomial is   .

(vi) 4,1

Given, the sum of zeroes    is 4   and the product of zeroes    is 1.

We know that the quadratic equation formula is   – (sum of the root)  + (product of root) = 0.

Substitute the given values in the formula, we get

Hence, the quadratic polynomial is   .

#### VIDEO EXPLANATION

Related Questions for Study

CBSE Class 10 Study Material

## Choose EduSaksham® Embrace Better Learning 