Question

The polynomial given below has _____ root(s). 2x2 + 2x + 4

Answer 1

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The answer is "Two negative" !

Answer 2

use the discriminant to find the type of roots

\[\Delta = b2 - 4ac\]

in your question, a = 2, b = 2 and c = 4

if the answer is less than zero the roots are complex, or undefined in the real number system

if the answer is equal, the root is repeated and real. As in a perfect square

if the answer is greater than zero then the roots and unequal and real