Question

factorize: (i) x^2+5x +6​

Answer 1

Factorize x2 - 5x + 6.

x^2 – 5x + 6

x^2 – 3x – 2x + 6

= x(x – 3) – 2(x – 3)

= (x – 3)(x – 2)

Answer

Thus, x- 3 and x – 2 are the factors of the polynomial x2 – 5x + 6.

Hope it helps

Answer 2

$= {x}^{2} + 5x + 6$

$= {x}^{2} + (3 + 2)x + 6$

$= {x}^{2} + 3x + 2x + 6$

$= x(x + 3) + 2(x + 3)$

$= (x + 2)(x + 3)$