The polynomial equation x^3-4x^2+2x+10=x^2-5x-3 has complex roots 3+2i what is the other root? use a graphing calculator and a system of equations. a –3 b –1 c 3 d 10

The correct option is b.

Step-by-step explanation:

The given expression is

Simplify the equation.

It is given that 3+2i is a root of the equation and (x-3-2i) is a factor.

By complex conjugate root theorem if a+ib is a root of an equation then a-ib must be the root of the equation.

It means 3-2i is a root of the equation and (x-3+2i) is a factor.

Divide by , to find the remaining factor.

By the long division method, the quotient is (x+1) and remainder is 0. It means (x+1) is a remaining factor of the given equation. Equate each factor equal to 0, to find the remaining roots.

Therefore the correct option is b.