Graph of y=x2+7x+3 intersects the x-axis at __ points
y=x2+7x+3 a=1,b=7,c=3
D=b2−4ac=49−4(1)(3) =49−12=37>0
As D>0, the roots will be real & distinct
So, graph of given expression touches the x-axis at 2 points.