Question

1. Factorise the quadratic trinomials:
(iii) x^2+12x+27​

Answer 1

Step-by-step explanation:

${x}^{2} + 12x + 27$

$= {x}^{2} + (9 + 3)x + 27$

$= {x}^{2} + 9x + 3x + 27$

$= x(x + 9) + 3(x + 9)$

$= (x + 9)(x + 3)$

Answer 2

Factorise:

3) x^2 + 12 x +27 =0

Product = 27

Sum = 12

hence ( 9 ,3 )

=> x^2 + 9 x + 3 x + 27 =0

x (x+9) + 3 (x + 9) =0

(x+3)(x+9)=0

Therefore x = -9,3

Hope this helps you!