Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form 
for the given value of k.f(x) = x3 - x2 + 4; k = -2
A. f(x) = (x + 2)(x2 + x + 2) + 8
B. f(x) = (x + 2)(x2 - 3x + 6) + 4
C. f(x) = (x + 2)(x2 - 3x + 6) - 8
D. f(x) = (x + 2)(3x2 - 4x + 2) + 16
Answer: C
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Write a chain rule formula for the following derivative.
for u = f(v); v = h(s, t)
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Solve.AAA Technology finds that the total revenue function associated with producing a new type of computer chip is 
and the total cost function is 
where x represents the number of units of chips produced. Find the total profit function, P(x) .
A. P(x) = -0.03x2 - 3x + 42 B. P(x) = 0.03x2 + 3x + 44 C. P(x) = -0.03x2 + 3x + 86 D. P(x) = -0.03x2 + 3x - 42
Graph the ellipse. Label the intercepts.50x2 + y2 = 100
A. (-
, 0), (
, 0), (0, -
), (0, 
)
B. (-2, 0), (2, 0), (0, -
), (0, 
)
C. (-2, 0), (2, 0), (0, -10), (0, 10)
D. (-
, 0), (
, 0), (0, -10), (0, 10)
For the parametric equations given, use a graphing calculator to generate the curve over the stated interval for the parameter t. Use the window specified. Also, find a rectangular equation for the curve.x = t3 + 1, y = t3 - 5, for t in [-2, 2]
A. 
The rectangular equation for the curve is
y = - x2, for x in [-4, 4].
B. 
The rectangular equation for the curve is
y = - x - 6, for x in [-7, 9].
C. 
The rectangular equation for the curve is
y = x3, for x in [-3, 1].
D. 
The rectangular equation for the curve is
y = x - 6, for x in [-7, 9].