Ann factored the expression completely
Max did not factor completely
Explanation:
The trinomial: 4x^2 - 6x - 4
ax^2 + bx + c
Factors of 16 = 2 and 8
The sum of -8 and 2 gives -6, while the product gives -16 (a × c = 4× 4)
we factorise:
4x^2 -8x + 2x - 4
4x (x - 2) + 2(x -2)
(4x + 2) (x - 2)
factorising completely, 2 is common to the first expression in bracket
2(2x + 1)(x - 2) = 2(x - 2)(2x + 1)
Ann factored: 2(x - 2)(2x + 1)
Max factored: (x - 2)(4x + 2)
From our workings, we can see Ann factored the expression completely
Max did not factor completely
Reason: one of the factors of the expression could still be factorise
4x + 2 can be factorise as 2(2x + 1)
