Polynomial Function with Multiple Roots

What are the roots of a polynomial function with a leading coefficient of 1 and multiplicity 1 for each factor?

a. x-2, x-(1+1), x+3i

b. x+2, x-(1-2), x-3

c. x-1, x-(1+3), x-3

d. x-2, x-(1-1), x+3i

Answer:

b. x+2, x-(1-2), x-3

A polynomial function with a leading coefficient of 1 and multiplicity 1 for each factor will have roots that correspond to the factors of the polynomial. In this case, the correct roots are x+2, x-(1-2), and x-3.

The roots x+2, x-(1-2), and x-3 indicate that the factors of the polynomial are (x+2), (x-3), and (x-3). These factors will lead to the given roots when the polynomial function is solved.

Therefore, the correct answer is b. x+2, x-(1-2), x-3.