Use the quadratic polynomial 3x2−3x−90 to answer the questions.
a: which summary correctly applies the fundamental theorem to the quadratic polynomial?
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 equation 3x2−3x−90=0 has more than two roots.
b: the quadratic equation 3x2−3x−90=0 has two real solutions, x=6 or x=−5, and therefore has two real roots.
b: the quadratic equation 3x2−3x−90=0 has one real solution, x=5, and therefore has one real root with a multiplicity of 2.
a: this polynomial has a degree of 2, so the equation 3x2−3x−90=0 has two or fewer roots.
a: this polynomial has a degree of 2, so the equation 3x2−3x−90=0 has exactly two roots.
b: the quadratic equation 3x2−3x−90=0 has two real solutions, x=−6 or x=5, and therefore has two real roots.