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

EASY

10th CBSE

IMPORTANT

Earn 100

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

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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 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

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 27

Quotient and remainder on dividing $x^{3} - 6 x^{2} + 2 x - 4$ by $x - 1$ is

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 28

Is

3 x + 10

a factor of

9 x^{3} - 27 x^{2} - 100 x + 300

?

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 29

If

3

is a zero of the polynomial

f (x) = x^{4} - x^{3} - 8 x^{2} + kx + 12,

then the value of

k

is

EASY

10th CBSE

IMPORTANT

Modern's abc+ of Mathematics for Class 10>Chapter 2 - Polynomials>FOR ASSESSMENT>Q 30

The sum and product of zeroes of the quadratic polynomial are

- 5

and

3

respectively, then the quadratic polynomial is equal to