Assertion (A) The polynomial $p(x)=x^{2}+3 x+3$ has two real zeroes.\ Reason (R) : A quadratic poly

Question

Assertion (A) The polynomial $p(x)=x^{2}+3 x+3$ has two real zeroes.\ Reason (R) : A quadratic polynomial can have at most two real zeroes.\

Professor PC Thomas Classes · Answer

(d) : Clearly, Reason (R) is true. For $P(x)=x^{2}+3 x+3=0$ Discriminant $(D)=(3)^{2}-4 	imes 1 	imes 3=9-12=-3<0$\ ⇒ The given quadratic polynomial has no real roots.\ So, Assertion (A) is false but Reason (R) is true.\