CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 1

EASY

10th CBSE

IMPORTANT

Earn 100

A cubic polynomial can have at the most zeroes.

50% studentsanswered this correctly

Important Questions on Polynomials

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 1

A quadratic polynomial in the variable

x

whose zeroes are

α

and

β

. If the polynomial is

x^{2} - (k α + l β) x + m α β

, then,

k + l + m =

_____.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 1

If a real number

α

is a zero of a polynomial

f (x)

, then

x - α

is a _____ of

f (x)

.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 1

If

x - α

is a factor of a polynomial

f (x)

, then

α

is a _____ of

f (x)

.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 1

If a polynomial of degree five is divided by a quadratic polynomial, then the degree of the quotient polynomial is _____.

EASY

10th CBSE

IMPORTANT

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

Is the following statements 'true' or 'false'? Justify your answer.
If the zeroes of a quadratic polynomial

a x^{2} + b x + c

are both negative, then

a, b

and

c

all have same sign.

EASY

10th CBSE

IMPORTANT

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

Is the following statements 'true' or 'false'? Justify your answer.
If the zeroes of a quadratic polynomial

a x^{2} + b x + c

are both positive, then

a, b

and

c

all have same sign.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 3

Can

x^{2} - 1

be the quotient on the division of

x^{6} + 2 x^{3} + x - 1

by a polynomial in

x

of degree

5

? Justify your answer.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 2 - Polynomials>Objective Questions>Q 3

What will the quotient and remainder be on division of

a x^{2} + b x + c

by

p x^{3} + q x^{2} + r x + s, p \neq 0

? Justify your answer.