Use synthetic division to find the quotient and the remainder when the first polynomial is divided by the second polynomial. 2x5 - x4 + 3x2 - x + 5; x - 1
A. quotient: 2x4 - 3x3 + x; remainder: 6
B. quotient: 2x4 + x3 + 4x2 + 3x; remainder: 8
C. quotient: 2x4 + x3 + x2 + 4x + 3; remainder: 8
D. quotient: 2x4 + x3 - x2 + 2x + 1; remainder: 6
Answer: C
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Find the limit.
A. -
B. 101
C.
D. -101
Find the derivative.y = sin2 9?x
A. 18? sin 9?x B. 18? sin 9?x cos 9?x C. sin 18?x D. 2 cos 9?x
Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = x4 - 5x2 + 4x + 2, [-0.5, 1.8]a). Plot the function over the interval to see its general behavior there. Sketch the graph below.b). Find the interior points where f' = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f' as well. List the points as ordered pairs (x, y).c). Find the interior points where f' does not exist. List the points as ordered pairs (x, y).d). Evaluate the function at the endpoints and list these points as ordered pairs (x, y).e). Find the function's absolute extreme values on
the interval and identify where they occur. What will be an ideal response?
Identify the digit with the given place value.514,763thousands
A. 0.004 B. 4000 C. 5 D. 4