English Medium Class 9 - CBSE Question Bank Solutions

Represent the following number on the number line:

`(-12)/5`

Locate `sqrt(5), sqrt(10)` and `sqrt(17)` on the number line.

Represent geometrically the following number on the number line:

`sqrt(4.5)`

Represent geometrically the following number on the number line:

`sqrt(5.6)`

Represent geometrically the following number on the number line:

`sqrt(8.1)`

Represent geometrically the following number on the number line:

`sqrt(2.3)`

If x + 1 is a factor of the polynomial 2x² + kx, then the value of k is ______.

x + 1 is a factor of the polynomial ______.

One of the factors of (25x² – 1) + (1 + 5x)² is ______.

The factorisation of 4x² + 8x + 3 is ______.

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