Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 1

MEDIUM

9th CBSE

IMPORTANT

Earn 100

Find the remainder when:
$x^{4} + x^{3} - 2 x^{2} + x + 1$ is divided by $x - 1 .$

Important Questions on Polynomials

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 2

Check whether the polynomial

q (t) = 4 t^{3} + 4 t^{2} - t - 1

is a multiple of

2 t + 1

.
Hint: If

(2 t + 1)

is a factor of

q (t)

, then

q (t)

is a multiple of

(2 t + 1)

.

EASY

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 1

Is

(x + 2)

a factor of

2 x^{2} + 6 x + 4

?

EASY

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 2

Examine whether

(x + 2)

is a factor of

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

.

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 3

Find the value of

k

, if

(x - 1)

is a factor of

4 x^{3} + 3 x^{2} - 4 x + k

.

EASY

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 4

Factorise

6 x^{2} + 17 x + 5

EASY

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 5

Using factor theorem, factorise

y^{2} - 5 y + 6

.

MEDIUM

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 6

Factorise

x^{3} - 23 x^{2} + 142 x - 120

.

EASY

9th CBSE

IMPORTANT

Full Marks Mathematics 9>Chapter 2 - Polynomials>TEST YOUR SKILLS>Q 7

Show that

(x - 2)

is a factor of

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

.