Wo students, ann and max, factored the trinomial 4x2 − 6x − 4. ann factored it as 2(x − 2)(2x + 1) and max factored it as (x − 2)(4x + 2). indicate which student factored the trinomial completely and which student did not, and explain why.

Ann. Max answer is not complete because he could use the common factor for the (4x + 2) = 2(2x + 1)

Step-by-step explanation: 4x² - 6x - 4

Common factor: 4x² - 6x - 4 = 2(2x² - 3x - 2) =

product of 2 binomials: 2x² - 3x - 2 = 0

a = 2 b=-3 c=-2

Δ = (-3)² - 4.2.(-2) = 9 + 16 = 25

√Δ = 5

x = 3±5/4

x₁ = 3+5/4 = 8/4 = 2

x₂ = 3-5/4 = -2/4 = -1/2

a(x-x₁)(x-x₂) = 2 (x+1/2)(x-2)=(2x + 1)(x - 2)

So 2(2x² - 3x - 2) = 2(2x + 1)(x - 2)

Max answer is (x − 2)(4x + 2) is not complete because he could use the common factor for the (4x + 2) = 2(2x + 1)