Question

X²+5x+6 factorise the following expressions ​

Answer 1

Answer:

X= -2,-3

Step-by-step explanation:

x^2+ 5x + 6

x^2 +3X+2x +6

X(X+3) +2(X+3)

(X+3) (X+2)

Answer 2

$\mathfrak{ \large{\blue{ \underline{ \purple{ Given: }}}}}$

• The equation is $\bold{ \rm{ {x}^{2} + 5x + 6}}$

$\mathfrak{ \large{\blue{ \underline{ \purple{ To \: Find:}}}}}$

• Value of x

$\mathfrak{ \large{\blue{ \underline{ \purple{ Solution: }}}}}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: {x}^{2} + 5x + 6 = 0}$

By splitting the middle term,

$\large{ \rm \longmapsto \: \: \: \: \: \: \: {x}^{2} + 2x + 3x + 6 = 0}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: x(x + 2) + 3(x + 2) = 0}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: (x + 2)(x + 3) = 0}$

The value of x is:-

$\large{ \rm \longmapsto \: \: \: \: \: \: \: x + 2 = 0 \: \: \: \boxed{ \red{ \mathfrak{or}}}} \: \: \: \rm{x + 3 = 0}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: x = - 2 \: \: \: \: \boxed{ \mathfrak{ \red{or}}}} \: \: \: \rm{x = - 3}$

$\mathfrak{ \large{\blue{ \underline{ \purple{ Hence:}}}}}$

The value of x is either –2 or –3.