Question

If (-1,0) is a zero of the polynomial function f(x)=-x^3+4x^2+2x-1 what can you say about the remaining zeros of this function without factoring it?

Answer 1

OPtion B is correct.

There are two more zeros.

Step-by-step explanation

The number of zeros of a polynomial depends on the degree of that polynomial, that is, the power of the term with the highest power in that polynomial.

For the polynomial given,

f(x) = -x³ + 4x² + 2x - 1

The degree of this is 3, and we've been given one of the zeros of the polynomial, so, it is evident that there are two more zeros to make a total of three zeros that'll be roots of this polynomial of degree 3.

Hope this Helps!!!