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Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as
Substituting in the coordinates of the vertex,
So, the equation is
On expanding, we get
The polynomial remainder theorem says that dividing a polynomial by
leaves a remainder of
if
is a factor of
. In this case, check
and
.
From the first equation,
and substituting into the second gives