Question

Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9

x-2

x+1

x-1

x+2

show work please

Answer 1

x+2

Explanation:

x+2

If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.