can anyone help with algebra 2?

This question deals with factoring quadratic trinomials.

(2x^2 + 8x - 42) / (x^2 + 12x + 35)

begin from the numerator: Factoring 2x^2 + 8x - 42 = 2(x^2 + 4x - 21) = 2(x + 7)(x - 3)

Factoring the denominator: x^2 + 12x + 35 = (x + 7)(x + 5)

dividing the numerator by the denominator:

(x + 7) divided by (x + 7) gives 1

The answer becomes:

2(x - 3) / (x + 5)

The restriction should be that x is not equal to -5. This is because if x = -5, then -5 + 5 = 0. That would make the expression to be undefined.

For a good understanding of Percents,

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Making assumptions about where parentheses should be,

(2x^2 + 8x - 42)/(x^2 + 12x + 35) =

2(x^2 + 4x - 21)/(x^2 + 12x + 35) =

2(x + 7)(x - 3)/((x + 7)(x + 5)) =

(2x + 14)/(x + 5), x ╪ -7 and x ╪ -5