Use the quadratic polynomial x^2+x−12 to answer the questions.

: which summary correctly applies the fundamental theorem of algebra to the quadratic polynomial?
: 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 x2+x−12=0 has exactly two roots.
b: the quadratic equation x2+x−12=0 has two real solutions, x=3 or x=−4, and therefore has two real roots.
a: this polynomial has a degree of \(2\), so the equation \(x^2+x−12=0\) has two or fewer roots.
a: this polynomial has a degree of \(2\), so the equation \(x^2+x−12=0\) has more than two roots.
b: the quadratic equation \(x^2+x−12=0\) has two real solutions, \(x=−3\) or \(x=4\), and therefore has two roots.
b: the quadratic equation \(x^2+x−12=0\) has one real solution, \(x=3\), and therefore has one real root with a multiplicity of \(2\).