Let's try to factorize this polynomial
[tex]x^2+2x-24=(x+)(x-)[/tex]in the blank spaces we have to put numbers that multiplied are 24, and substracted are +2. So we have 6 and 4
[tex]x^2+2x-24=(x+6)(x-4)[/tex]So the factored form of the polynomial is (x+6)(x-4)