Question

Factor the trinomial completely.1) 4x^2-10x+62) -6x^2-18x-24

Answer 1

Given:

`4x^2-10x+6`

Factor the trinomial.

We have:

`\begin{gathered} 4x^2-10x+6 \\ \\ =4x^2-4x-6x+6 \\ \\ =2(2x^2-2x-3x+3) \\ \\ =2(2x(x-1)-3(x-1)) \\ \\ =2(2x-3)(x-1) \end{gathered}`

ANSWER:

2(2x - 3)(x - 1)