Find a quartic function with x=2 and x=6 as its only real zeros.

Question

Choose the correct answer below.

A.

x^4−8x^2+12

B.

x^4−10x^3+29x^2+16x+12

C.

x^4−8x^3+11x^2+8x−12

D.

x^4−8x^3+13x^2−8x+12

Answer 1

The sum of the roots is not 0. Therefore, not #A

The sum of the roots is not -10. Therefore, not #B

The product of the roots is 12 (not -12), therefore, #D