Question

Which of the following Polynomial does not have real roots?

Answer 1

Using the formula below

`\begin{gathered} b^2-4ac \\ \text{Solving for the first option} \end{gathered}`

For 2x²+4x+4, relataing it to the general form of a quadratic equation,

`ax^2+bx+2=0`

Where a, b, and c for the 2x²+4x+4 is given below,

`\begin{gathered} a=2,b=4,c=4 \\ b^2-4ac=4^2-4(2*4)=16-32=-16 \end{gathered}`

Since b²-4ac is not supposed to be negative (i.e complex roots),

Answer is A