Question

The graph of quadratic polynomial f (x) = (x - a) (x - b) where a, b > 0 and a $\ne$ b, then the graph does not pass through

• A. first quadrant
• B. second quadrant
• C. third quadrant
• D. fourth quadrant

Answer 1

The correct option is C third quadrant

Assuming $b$ is the max $(a,b)$

$(x-a)(x-b)>0$ at $x>b$

$(x-a)(x-b)>0$ at $x<a$

Graph doesn't pass through third quotient.