Question

What is the correct factorisation of?
X^2+6x+8​

Answer 1

x² + 6x + 8

= x² + 4x + 2x + 8

= x(x+4) + 2(x+4)

= (x+4)(x+2)

Answer 2

Explanation:

Given that: x

2

+6x+8

=x

2

+4x+2x+8, (split middle term)

=(x

2

+4x)+(2x+8), (group pair of terms)

=x(x+4)+2(x+4), (factor each binomials)

=(x+4)(x+2), (factor out common factor (x+4)

Hence factors of x

2

+6x+8 are (x+4)(x+2)