Step-by-step explanation:
In order to find the x intercepts, let us substitute y = 0 in the given equation.
[tex] \therefore \: 0 = {x}^{2} + 3x - 28 \\ \\ \therefore \: {x}^{2} + 3x - 28 = 0\\ \\ \therefore \: {x}^{2} + 7x - 4x - 28 = 0\\ \\ \therefore \: x(x + 7) - 4(x + 7) = 0 \\ \\ \therefore \: (x + 7)(x - 4) = 0 \\ \\ \therefore \: x + 7 = 0 \: \: or \: x - 4 = 0 \\ \\ \therefore \: x = - 7 \: \: or \: \: x = 4 \\ [/tex]
Thus x intercepts are - 7 & 4.
