IDNLearn.com provides a collaborative environment for finding accurate answers. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

Which of the following Polynomial does not have real roots?

Which Of The Following Polynomial Does Not Have Real Roots class=

Sagot :

Using the formula below

[tex]\begin{gathered} b^2-4ac \\ \text{Solving for the first option} \end{gathered}[/tex]

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

[tex]ax^2+bx+2=0[/tex]

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

[tex]\begin{gathered} a=2,b=4,c=4 \\ b^2-4ac=4^2-4(2\times4)=16-32=-16 \end{gathered}[/tex]

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

Answer is A