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The factorization method used is based on finding two numbers whose sum is equal to the middle term's coefficient and whose product equals the term.
If $q > 0$, as in $x^2 + 12x + 35$, $a$ and $b$ will be of the sign.
The polynomial $x^2 + 12x + 35$ factors as $(x + 5)(x + )$.
In $x^2 + x - 20$, to find $a$ and $b$, consider pairs of numbers that multiply to and add to 1.
The polynomial $x^2 + x - 20$ can be factored into two binomials: $(x + )(x - 4)$.
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