State the number of possible real zeros and turning points of f(x) = x^7 – 6x^6 + 8x^5. Then determine all of the real zeros by factoring.

A.) 7 real zeros and 6 turning points; 0, 2, and 4

B.) 7 real zeros and 6 turning points; 0, –2, and –4

C.) 6 real zeros and 5 turning points; 0, 2, and 4

D.) 6 real zeros and 5 turning points; 0, –2, and –4

*please show any and all work, thanks*