Use the quadratic polynomial x2+4 to answer the questions.
a: which summary correctly applies the fundamental theorem to the quadratic?
b: which statement correctly verifies the application of the fundamental theorem of algebra?
select one answer for question a, and select one answer for question b.
a: this polynomial has a degree of 2, so the quadratic equation x2+4=0 has two or fewer roots.
b: the quadratic equation x2+4=0 has three solutions, x=−2i, x=2i, or x=0, and therefore has three roots.
a: this polynomial has a degree of 2, so the quadratic equation x2+4=0 has more than two roots.
b: the quadratic equation x2+4=0 has two complex solutions, x=−2i or x=2i, and therefore has two complex roots.
a: this polynomial has a degree of 2, so the quadratic equation x2+4=0 has exactly two roots.
b: the quadratic equation x2+4=0 has one complex solution, x=−2i, and therefore has one complex root with a multiplicity of 2.