CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 16

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10th CBSE

IMPORTANT

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If the sum of the zeroes of the cubic polynomial $2 x^{3} - k x^{2} - 8 x - 12$ is $- \frac{3}{2}$ , then the value of $k$ is

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Important Questions on Polynomials

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 17

If one of the zeroes of the cubic polynomial

x^{3} - 7 x + 6

is

2

, then the product of the other two zeroes is

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 18

A quadratic polynomial whose product and the sum of zeroes are

- \frac{1}{2}

and

- \frac{1}{12}

respectively is

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 19

The quadratic polynomial

p (y)

with

- 15

and

- 7

as the sum and one of the zeroes respectively is

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 20

The zeroes of the quadratic polynomial

x^{2} + 99 x + 127

are

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 21

If

2

is a zero of both the polynomials

3 x^{2} + a x - 14

and

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

, then the value of

a - 2 b

is

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10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Higher Order Thinking Skills (HOTS)>Q 1

If

α

and

β

are zeroes of the quadratic polynomial

x^{2} - 5 x + 4

, then find all quadratic polynomials whose zeroes are

α + \frac{1}{β}

and

β + \frac{1}{α}

.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Higher Order Thinking Skills (HOTS)>Q 2

Find the zeroes of the cubic polynomial

32 x^{3} - 48 x^{2} + 22 x - 3

, given that its zeroes are in AP.

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Higher Order Thinking Skills (HOTS)>Q 3

Given that the zeroes of the cubic polynomial

x^{3} - 6 x^{2} + 3 x + 10

are of the form

a, a + b, a + 2 b

for some real numbers

a

and

b

, find the values of

a

and

b

as well as the zeroes of the given polynomial.