English Medium इयत्ता ९ - CBSE Question Bank Solutions

Which of the following is a factor of (x + y)³ – (x³ + y³)?

Show that x + 3 is a factor of 69 + 11x – x² + x³.

Show that 2x – 3 is a factor of x + 2x³ – 9x² + 12.

Determine which of the following polynomials has x – 2 a factor:

3x² + 6x – 24

Show that p – 1 is a factor of p¹⁰ – 1 and also of p¹¹ – 1.

Find the value of m so that 2x – 1 be a factor of 8x⁴ + 4x³ – 16x² + 10x + m.

If x + 1 is a factor of ax³ + x² – 2x + 4a – 9, find the value of a.

Factorise:

x² + 9x + 18

Factorise:

6x² + 7x – 3

Factorise:

2x² – 7x – 15

Factorise:

84 – 2r – 2r²

Factorise the following:

9x² – 12x + 3

Factorise the following:

9x² – 12x + 4

Factorise the following:

1 – 64a³ – 12a + 48a²

Factorise the following:

`8p^3 + 12/5 p^2 + 6/25 p + 1/125`

Factorise:

1 + 64x³ 

Factorise:

`a^3 - 2sqrt(2)b^3`

Find the following product:

(2x – y + 3z)(4x² + y² + 9z² + 2xy + 3yz – 6xz)

Factorise:

a³ – 8b³ – 64c³ – 24abc

Factorise:

`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`