Question

factorise: m^2 +5x+6

Answer 1

Answer:

x² +5x+6 = (x+3)(x+2)

Step-by-step explanation:

factorise: m^2 +5x+6

correct equation  is x² +5x+6

using splitting method

5x = 3x + 2x where 3x * 2x = 6x²

so x² +5x+6

= x² + 3x + 2x + 6

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

=(x+3)(x+2)

x = -3 & - 2

x² +5x+6 = (x+3)(x+2)

Answer 2

Answer:

$m^2 +5m+6=(m+2)(m+3)$

Step-by-step explanation:

Given the polynomial

$m^2 +5m+6$

we have to factorize the above polynomial.

Polynomial: $m^2 +5m+6$

By middle-term splitting method

$m^2 +5m+6$

$m^2+3m+2m+6$

$m(m+3)+2(m+3)$

$(m+2)(m+3)$

The factors are (m+2) and (m+3)