Our polynomial is \(x^{2} +3x-28\)
We can tell from -28 that the binomials are one positive and one negative.
We can use a factoring chart. What adds to make +3x and multiplies to make -28. \(blank + blank=+3x
blank*blank=-28\)
To get a negative 28, we can multiply -4 and positive seven, which add together after being multiplied by x to get +3x. Therefore, you are left with (x+7) and (x-4).
\((x+7)(x-4)\)