Let f ( x ) be the function 3 x 2 − 9 x + 5 . Then the quotient f ( 1 + h ) − f ( 1 ) h can be simplified to a h + b for:

Answer 1

3(h+1)^2 - 9(h+1) + 5 - 3(1) +9(1) -5(1) =

3h^2 + 6h + 3 -9h - 9 + 6=

3h^2 - 3h =

3h(h-1) =

3h(h+(-1)) where b=-1

Answer 2

3(1+h)^2 - 9(1+h)+5 - (-1)

3(h^2+2h+1) - 9(h+1) + 6 =

3h^2 + 6h + 3 - 9h - 9 + 6 =

3h^2 -3h