CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 11

MEDIUM

10th CBSE

IMPORTANT

Earn 100

If one zero of the polynomial $x^{2} + 11 x + k$ is $- 3$ , find the value of $k$ and other zero.

Important Questions on Polynomials

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 12

Find the value of

k,

such that one zero of the polynomial

3 x^{2} + (1 + 4 k) x + k^{2} + 5

is one third of other.

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 13

If the zeroes of the polynomial

x^{2} + p x + q

are in the ratio

2 : 3

, then prove

6 p^{2} = 25 q .

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 14

If one zero of the polynomial

x^{2} - 8 x + k

exceeds the other by

2,

find the zeroes of the polynomial. Find the value of

k ?

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 15

If the sum and product of the zeroes of the polynomial

a x^{2} - 5 x + c

is equal to

10

each. Find the values of

a

and

c ?

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 16

Find the quadratic polynomial whose sum and product of the zeroes are

- 1

and

- 20

respectively. Also, find the zeroes of the polynomial obtained.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 16

Find the quadratic polynomial the sum and the product of whose zeroes

- 8

and

12

respectively. Hence, find the zeroes?

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 17

Find a quadratic polynomial whose sum and product respectively of the zeroes are given. Also find the zeroes of the polynomial.

$\frac{- 8}{3}, \frac{4}{3}$

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 17

Find a quadratic polynomial whose sum and product respectively of the zeroes are given. Also find the zeroes of the polynomial.

$0, \frac{- 3}{5}$