Which of the following polynomials does not h | vedclass

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(D) quadratic polynomial $p(x) = ax^2 + bx + c$ has no real zeros if its discriminant $D = b^2 - 4ac < 0$.For option $A$: $D = (-5)^2 - 4(1)(4) = 25 -

Vedclass · Accepted Answer

$p(x)=x^{2}+2 x+7$

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(D) quadratic polynomial $p(x) = ax^2 + bx + c$ has no real zeros if its discriminant $D = b^2 - 4ac For option $A$: $D = (-5)^2 - 4(1)(4) = 25 - 16 = 9 > 0$. It has two real zeros.For option $B$: $D = (2)^2 - 4(1)(1) = 4 - 4 = 0$. It has one real zero.For option $C$: $D = (0)^2 - 4(1)(-4) = 16 > 0$. It has two real zeros.For option $D$: $D = (2)^2 - 4(1)(7) = 4 - 28 = -24 < 0$. Since $D < 0$,this polynomial has no real zeros.

Which of the following polynomials does not have any real zero?

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