Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 18

EASY

10th CBSE

IMPORTANT

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When $x^{4} + x^{3} - 2 x^{2} + x + 1$ is divided by $x - 1$ , then the remainder is

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Important Questions on Polynomials

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 19

If

α

and

β

are zeroes of the polynomial

2 y^{2} - 4 y + 3

, then the value of

α^{2} β + {αβ}^{2}

is

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 20

If

α

and

β

are the zeros of the quadratic polynomial

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

such that

α^{2} + β^{2} = 34

, then the value of

k

is

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 21

If

α

and

β

are zeroes of the quadratic polynomial

p (x) = x^{2} - 8 x + k

such that

α - β = 4

, then the value of

k

is

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 22

If the sum of products of zeroes taken, two at a time of polynomial

p (x) = x^{3} - 5 x^{2} + kx + 8

is

2

, then the value of

k

is

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 23

The division algorithm states that given any polynomial

p (x)

and any non-zero polynomial

g (x)

there are polynomial

q (x)

and

r (x)

such that

p (x) = g (x) q (x) + r (x)

, where

r (x)

is

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 24

If the zeroes of the quadratic polynomial

{ax}^{2} + bx + c, c \neq 0

are equal, then

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 25

The zeroes of the quadratic polynomial

4 x^{2} + 87 x + 125

are

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 26

Zeroes of the quadratic polynomial

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

are