CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 25

EASY

10th CBSE

IMPORTANT

Earn 100

Find the condition that the zeroes of the polynomial $p (x) = a x^{2} + b x + c$ are reciprocal of each other.

Important Questions on Polynomials

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 26

If the sum of zeroes of quadratic polynomial

3 x^{2} - k x + 6

is

3,

find the value of

k .

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 27

If the sum of zeroes of the polynomial

p (x) = (k^{2} - 14) x^{2} - 2 x - 12

is

1,

find the value(s) of

k .

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 28

If one zero of the polynomial

p (x) = (a^{2} + 9) x^{2} + 13 x + 6 a

is the reciprocal of each other, then the value of

a

is _____?

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 29

If the sum of zeroes of the polynomial

(a + 1) x^{2} + (2 a + 3) x + (3 a + 4)

is

- 1,

then the product of zeroes is _____?

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 30

If one zero of the polynomial

3 x^{2} - 8 x + 2 k + 1

is seven times the other, then the value of

k

is _____?

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 31

Find all the zeroes of the polynomial

x^{3} + 3 x^{2} - 2 x - 6

if two of its zeroes are

\sqrt{2}

and

- \sqrt{2}

.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 32

Find a quadratic polynomial with the given numbers as the sum and product of its zeroes:

$4, 3$

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Exercise 2.3>Q 32

Find a quadratic polynomial with the given numbers as the sum and product of its zeroes:

$- 3, 2$