To find the X intercept make y =0. Then factor out a negative on the side with the equation for each of the terms, so it becomes 0=-(x^2+x+3) 0=(x^2+X+3) 0-3=(x^2+X) -3=x(X+1) -3=X, X intercept -3,0 -3=(X+1) -4=X, X intercept -4,0. These are possible X intercepts you can check by using quadratic formula as well.
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