The graph of f(x) is shown in figure
Step:
y=−(x2−7x+10)
put y=0 to find out the point of intersection on X axis
Now on factorising we will get
0=−(x−2)(x−5)
so x=2 and x=5
So points of intersection of curve at X-axis =(2,0),(5,0)
Graph of y=x2+7x+3 intersects the x-axis at __ number of points