Question

Select one of the factors of 3x2 + 4x - 4 (1 points)

Answer

(x + 4)

(3x + 2)

(3x - 2)

(x - 2)

Answer 1

`3x^(2) +4x-4`
3
`x^(2) +6x-2x-4`
3x(x+2)-2(x+2)
(3x-2)(x+2)
One of the factors is thus (3x-2)

Answer 2

3x^2 + 4x - 4 = 3x^2 + 6x - 2x - 4 = (3x^2 + 6x) + (-2x - 4) = 3x(x + 2) - 2(x + 2) = (3x - 2)(x + 2)

Therefore, from the given options, (3x - 2) is one of the factors of the given polynomial.