Question

How do you simplify `(6w^2+11w-7)/(6w-3)` and what are the restrictions?

Answer 1

Factor `y = 6x^2 + 11x - 7.`
Converted `y' = x^2 + 11x - 42`.
Factor pairs of -42 ->(-2, 21)(-3, 14)
Then, p' = -3, and q' = 14
Then, `p = -3/6 = -1/2`, and `q = 14/6 = 7/3`
`y = (x - 1/2)(x + 7/3) = (2x - 1)(3x - 7)`

`f(x) = ((2x - 1)(3x - 7))/(3(2x - 1)) = (3x - 7)/3`

Restriction: (2x -1) should not be zero or x not 1/2