New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 6

EASY

10th CBSE

IMPORTANT

Earn 100

Form a quadratic polynomial whose one of the zeroes is $+ 15$ and sum of the zeroes is $42$ .

Important Questions on Polynomials

MEDIUM

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 7

Divide

(2 x^{2} + x - 20)

by

(x + 3)

and verify division algorithm.

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 8

Find the zeroes of the quadratic polynomial

\sqrt{3} x^{2} - 8 x + 4 \sqrt{3}

.

MEDIUM

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 9

What must be added to polynomial

f (x) = x^{4} + 2 x^{3} - 2 x^{2} + x - 1

so that the resulting polynomial is exactly divisible by

x^{2} + 2 x - 3

?

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 10

Find the quadratic polynomial whose zeroes are

3 + \sqrt{2}

and

3 - \sqrt{2}

.

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 11

If

α

and

\frac{1}{α}

are zeroes of the polynomial

4 x^{2} - 2 x + (k - 4)

, find the value of

k

.

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 12

1

is one of the zeroes of polynomial

7 x - x^{3} - 6

. Find its other zeroes.

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 13

α, β

are the roots of the quadratic polynomial

p (x) = x^{2} - (k - 6) x + (2 k + 1)

. Find the value of

k

, if

α + β = α β

.

EASY

10th CBSE

IMPORTANT

New Mathematics for Class X>Chapter 2 - Polynomials>REVISION EXERCISE>Q 14

If the zeroes of the polynomial

100 x^{2} - 81

are

\pm k

then find the value of

k

. [Write the answer in fraction].