A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)? Q(x) + R(x).P(x) = 3x4 - 2x3 - 10x2 + 15d(x) = x - 2
A. (x - 2)(3x3 + 4x2 - 2x + 11) + 22
B. (x - 2)(3x3 + 4x2 - 2x - 4) + 7
C. (x - 2)(3x3 - 4x2 - 2x - 4) + 7
D. (x - 2)(3x3 + 4x2 + 2x + 4) + 22
Answer: B
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Find the Taylor polynomial of order 3 based at a for the given function.
; a = -1
A. - 
+ 
(x + 1) - 
(x + 1)2 + 
(x + 1)3
B. - 
+ 
(x + 1) - 
(x + 1)2 + 
(x + 1)3
C. - 
+ 
(x + 1) - 
(x + 1)2 + 
(x + 1)3
D. - 
+ 
(x + 1) - 
(x + 1)2 + 
(x + 1)3
Write an equation for a function that has a graph with the given transformations.The shape of y = 
is shifted 5 units to the left. Then the graph is shifted 7 units upward.
A. f(x) = 
+ 5
B. f(x) = 7 
C. f(x) = 
+ 7
D. f(x) = 
+ 7
Solve the problem. If necessary, round your result to the nearest tenth unless instructed differently. The precise value of your approximation may depend on the conversion path that you choose.Carol and Lu Yi carry a total of 5.5 liters of water as they begin a day hike. How many gallons of water are they carrying, to the nearest tenth?
A. 5.8 gal B. 1.4 gal C. 20.8 gal D. 5.2 gal
Solve the quadratic equation using the quadratic formula.2x2 + 9x - 5 = 0
A. 
B. 
C. 
D. 