NCERT Solutions for Class 8 Maths Chapter 14 Exercise 14.4 in Hindi and English medium updated for CBSE 2022-2023 exams.

• ## 8th Maths Exercise 14.4 Solution in Hindi and English Medium

### Class 8 Maths Chapter 14 Exercise 14.4 Solution

Class VIII Mathematics Ex. 14.4 Factorisation updated for academic session 2022-23 in Hindi and English Medium. All the contents are updated for current CBSE exams 2022-23 with videos and text format free. Use all the contents of class 8 mathematics NCERT without any login or password. If any student face problem to access the contents, please contact us for help. we will help you immediately.

 Class: 8 Mathematics Chapter: 14 Exercise: 14.4 Chapter Name: Factorisation Content Type: Videos and PDF Solution Medium: Hindi and English Medium

App for Class 8 all Subjects

Formula: (xÂ² + px + q)
For factorising (xÂ² + px + q), we find two numbers a and b such that (a + b) = p and ab = q.
Then, xÂ² + px + q = xÂ² + (a + b) x + ab = xÂ² + ax + bx + ab
= x (x + a) + b (x + a)
= (x + a) (x + b)

Factorise: (i) xÂ² + 8x + 15 (ii) xÂ² + 15x + 56
We have: (i) xÂ² + 8x + 15
We can write this expression as:
P = 3 + 5 and q = 3 x 5
= xÂ² + (3 + 5) x + 3 x 5
= (x + 3) (x + 5)

(ii) xÂ² + 15x + 56
We can write this expression as:
P = 7 + 8 and q = 7 x 8
= xÂ² + (7 + 8) x + 7 x 8
= (x + 7) (x + 8)

What are the 3 methods that can be used to solve a quadratic equation?
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Formula: ax2 + bx + c
Factorization Method: Split b into two parts whose sum = b and product = ac. Now, we proceed as above to factorise, as shown below.
Factorise: 2xÂ² + 9x + 10
The given expression is 2xÂ² + 9x + 10
Find two numbers whose sum = 9 and product = (2 x 10) = 20.
So, 2xÂ² + 9x + 10 = 2xÂ² + 4x + 5x + 10
= 2x (x + 2) + 5 (x + 2)
= (x + 2) (2x + 5)