Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. x3 + 3x2 - 8x + 10 = 0

A. {1 + i, 1 - i, -5}
B. {1 + i, 1 - i, 5}
C. {1 + i, 1 - i, 5i}
D. {-5, 5}


Answer: A

Mathematics

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Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x4 - 10x3 + 35x2 - 50x + 24

A. (x - 1)(x - 2)(x - 3)(x - 4); 1, 2, 3, 4 B. (x + 1)(x - 2)(x + 3)(x - 4); -1, 2, -3, 4 C. (x + 1)(x - 2)(x - 3)(x - 4); -1, 2, 3, 4 D. (x + 1)(x + 2)(x - 3)(x - 4); -1, -2, 3, 4

Mathematics

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 9yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20

A. Maximum: 59; at (2, 5) B. Maximum: 70; at (10, 0) C. Maximum: -28; at (4, 0) D. Maximum: 42; at (6, 0)

Mathematics

Complete the square in x and y to find a Cartesian equation of the form  or  for the given equation.9x2 - 16y2 + 36x - 64y - 172 = 0

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Determine whether the expressions are equivalent.2x - 12x, 2(x - 6)

A. Yes B. No

Mathematics