Using the angle bisector theorem solve for x. show all work.

X = 6.

The angle bisector theorem tells us that the ratio of the lengths of the line segments on the side the bisector intersects is the same as the ratio of the lengths of the sides adjacent to the intersected side. So using the theorem and the diagram, we can create this equation, and then solve for x.
(4x+1)/15 = 5/3
15*(4x+1)/15 = 15*5/3
4x+1 = 5*5
4x+1 = 25
4x+1-1 = 25-1
4x = 24
4x/4 = 24/4
x = 6

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*