Question

Which factorisation is correct for \[x^{2}-5x+6\]?

Options

• \[(x-2)^{2}\]

• \[(x-2)(x-3)\]

• \[(x+2)(x+3)\]

• \[(x-1)(x-6)\]

Answer 1

The numbers \[2\] and \[3\] have product \[6\] and sum \[5\]. Hence \[x^{2}-5x+6=(x-2)(x-3)\].