Factorise : x² + 9x + 18
Solution:
Given, the polynomial is x² + 9x + 18.
We have to factorise the polynomial.
On factoring by splitting the middle term,
x² + 9x + 18
x² + 6x + 3x + 18
x(x + 6) + 3 (x + 6)
(x + 3)(x + 6)
Therefore, the factors are (x + 3) and (x + 6).
✦ Try This: Factorise : x² + 6x + 8
Given, the polynomial is x² + 6x + 18.
We have to factorise the polynomial.
On factoring by splitting the middle term,
x² + 6x + 8
x² + 4x + 2x + 8
x(x + 4) + 2(x + 4)
(x + 4)(x + 2)
Therefore, the factors are (x + 4) and (x + 2).
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 23(i)
Factorise : x² + 9x + 18
Summary:
A polynomial equation is an equation formed with variables, exponents, and coefficients together with operations and an equal sign. On factoring x² + 9x + 18 the factors are (x + 3) and (x + 6)
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