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 |

##### Factorisation of Quadratic Trinomials

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)

**How do you Factorise quadratics?**

To factorise a quadratic we have to go from an expression such as xÂ² âˆ’ 2x âˆ’ 15 to the linear factors (x âˆ’ 5) (x + 3) which generate it when multiplied out.

We can split -2 as -5 + 3 and -5 x 3 = -15

So, we can write xÂ² âˆ’ 2x âˆ’ 15 = xÂ² âˆ’ 5x + 3x âˆ’ 15

Or, x (x – 5) + 3 (x – 5)

Or, (x – 5) (x + 3)

**What is the importance of factoring?**

Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations.