# Factorise : 2x² - 7x - 15

**Solution:**

Given, the __polynomial__ is 2x² - 7x - 15

We have to __factorise the polynomial__.

On factoring by splitting the middle term,

2x² - 7x - 15

2x² - 10x + 3x - 15

2x(x - 5) + 3(x - 5)

(2x + 3)(x - 5)

Therefore, the factors are (2x + 3) and (x - 5).

**✦ Try This: **Factorise : x² + 7x - 18

Given, the polynomial is x² + 7x - 18.

We have to factorise the polynomial.

On factoring by splitting the middle term,

x² + 7x - 18

x² + 9x - 2x - 18

x(x + 9) - 2(x + 9)

(x + 9)(x - 2)

Therefore, the factors are (x + 9) and (x - 2).

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 2

**NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 23(iii)**

## Factorise : 2x² - 7x - 15

**Summary:**

The terms of polynomials are defined as the parts of the expression that are separated by the operators "+" or "-". On factoring 2x² + 7x - 15 the factors are (2x + 3) and (x - 5)

**☛ Related Questions:**

visual curriculum