6 . B
Since the denominator has a lower power, factor that expression first.
y^2 − 10y + 25 = (y − 5)(y − 5)
Check each numerator in the answer options to determine which polynomial gives a product
of y^3 − 6y^2 + 3y + 10 when multiplied by (y − 5).
y^3 − 6y^2 + 3y + 10 = (y − 5)(y^2 − y −2).
Then
7 . A
The domain of a function cannot include numbers that figure into negative square roots.
This means that any expression raised to a power of must be greater than 0. x must
be less than or equal to 3 when (3 − x) is raised to the power. Any number greater than 3
would mean that a negative number is being raised to that power. So
has a domain of x ≤ 3.
8 . C
The solution to the quadratic equation ax^2 + bx + c = 0 is
Here, a = 1, b = −8, and c = 13.