Carlos and Sophie, factored the trinomial - 4x2 - 10x + 6. Sophie factored it as - 2 (2x - 1) (x + 3) and Carlos factored it as (x + 3) (-4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why.

Question

Emery Ware

Mathematics

18 September, 07:50

Carlos and Sophie, factored the trinomial - 4x2 - 10x + 6. Sophie factored it as - 2 (2x - 1) (x + 3) and Carlos factored it as (x + 3) (-4x + 2). Indicate which student factored the trinomial completely and which student did not, and explain why.

+1

Answers (1)

Know the Answer?

Diya Stanton · Answer 1

Sophie factored it completely while Carlos did not.

Complete factoring is achieved when all factors other than monomial factors are prime factors. Carlos' (4x + 2) can still be factored into 2 (x+1).