Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 3

EASY

10th Manipur Board

IMPORTANT

Earn 100

Use factor theorem to determine whether $q (x) = x + 1$ is a factor of $p (x) = 2 x^{3} + x^{2} - 2 x - 1$ or not.

Important Questions on Polynomials

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 3

Use factor theorem to determine whether

q (x) = x - 1

is a factor of

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

or not.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 3

Use factor theorem to determine whether

q (x) = x - 4

is a factor of

p (x) = x^{3} - 4 x^{2} + x + 6

or not.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 4

Use factor theorem to show that

x - 1

is a factor of

3 x^{5} - 2 x^{2} - 6 x + 5

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 4

Use factor theorem to show that

x + 1

is a factor of

2 x^{4} - 3 x^{2} + 6 x + 7

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 4

Use factor theorem to show that

x - 2

is a factor of

x^{3} - 9 x^{2} + 26 x - 24

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 4

Use factor theorem to show that

x + y, y + z, z + x

are the factors of

{(x + y + z)}^{3} - (x^{3} + y^{3} + z^{3})

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 4

Use factor theorem to show that

x - y, y - z, z - x

are a factors of

x^{3} (y^{2} - z^{2}) + y^{3} (z^{2} - x^{2}) + z^{3} (x^{2} - y^{2})

.

EASY

10th Manipur Board

IMPORTANT

Mathematics for Class 10>Chapter 2 - Polynomials>EXERCISE 2.2>Q 5

Find the value of

k

, if

x - 1

is a factor of

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