Divide the first polynomial by the second and state the quotient and the remainder.2x3 + 6x2 - 26x - 30, x + 5

A. Quotient: -2x2 - 5x - 6; remainder: 0
B. Quotient: 2x2 + 6x - 26; remainder: 0
C. Quotient: 2x2 - 4x - 6; remainder: 0
D. Quotient: 2x - 4; remainder: 0


Answer: C

Mathematics

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Determine the possible number of positive real zeros and negative real zeros of the polynomial function using Descartes' rule of signs.f(x) = 4x3 - 9x2 + x + 2

A. 3 or 1 positive zeros, 1 negative zero B. 2 or 0 positive zeros, no negative zeros C. 2 or 0 positive zeros, 1 negative zero D. 3 or 1 positive zeros, 2 or 0 negative zeros

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Determine where the graph of the function is concave upward and where it is concave downward. Also, find all inflection points of the function.

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Use transformations of the graph of y = x4 or y = x5 to graph the function.f(x) = (x - 4)4 + 3 

A.

B.

C.

D.

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Solve the system of equations using substitution. Note that the system may be inconsistent or consistent with dependent equations. 

A. (0, 7) B. (1, 6) C. All ordered pairs along x = 56 - 8y D. No solution

Mathematics