Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. x3 + 3x2 - 4x - 12 = 0
A. {-2}
B. {-3}
C. {-2, 2, 3}
D. {-3, -2, 2}
Answer: D
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Provide an appropriate response.Which of the following statements is false?I. For a function f(x), the Taylor polynomial approximation can always be improved by increasing the degree of the polynomial.II. Of all polynomials of degree less than or equal to n, the Taylor polynomial of order n gives the best approximation of f(x).III. The Taylor series at x = a can be obtained by substituting x - a for x in the corresponding Maclaurin series.
A. I, II, and III B. I and III C. I and II D. III only
Find the domain of the composite function f?g. Write the domain in interval notation.f(x) = x + 3, g(x) =
A. (-?, -9) ? (-9, ?) B. (-?, ?) C. (-?, -6) ? (-6, ?) D. (-?, -6) ? (-6, -3) ? (-3, ?)
For the measured quantity, state the set of numbers that is most appropriate to describe it. Choose from the natural numbers, integers, and rational numbers.The average speeds of race cars for one lap at Wilmot Speedway
A. Natural numbers B. Rational numbers C. Integers
Solve.Throw Me for a Loop Bagels determines that it costs them dollars to make x dozen bagels in one day. Find the equivalent expression for C(x) by factoring out
.
A. C(x) = (300 + x -
x2)
B. C(x) = - (300 - x +
x2)
C. C(x) = x(300 -
x)
D. C(x) = (300 - x -
x2)