Question

Which is a third degree polynomial with -3 and 2 as its only zeros?

a. f(x)=x^3+x^2-8x-12
b. f(x)=x^3+2x^2-5x-6
c. f(x)=x^3+4x^2-3x-18
d. f(x)=x^2+x-6

Answer 1

Answer:b

Explanation:

f(x)=x^3+2x^2-5x-6

Put x= -3 in the equation

f(-3)=-3^3+2*3^2-5*3-6

= -27+18+15-6= 0

f(2)= 2^3+2*2^2-5*2-6

=8+8-10-6= 0