we are given polynomial 2x^2 +4x +7.
we need to determine the number of roots of the given polynomial using the fundamental theorem of algebra.
a) for the given polynomial 2x^2+4x+7, we have degree =2.
therefore, according to the fundamental theorem of algebra, the polynomial can have at most 2 roots.
b) let us find the roots of the given polynomial.
2x^2+4x+7= 0
therefore, roots are
.