Question:
The graph of the quadratic polynomial ax^2+bx+c intersect x axis such that c=b^2/4a, then the quadratic polynomial has, A. two distinct zeroes B. two coincident zeroes C.no real zeroes D. none of the above
Answer:
Given, the graph of the quadratic polynomial ax2 + bx + c intersect x-axis such that
c = b2 /4a
=> b2 = 4ac
=> b2 - 4ac = 0
=> Discrimiant of the equation is zero.
If the discriminant of an equation is zero, then there is exactly only one real root which is -b/2a
Again, sometimes it is also called a repeated or double root.
So, option B is the correct answer.
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