Final Exam 579
- Suppose that the coefficients and constant in a polynomial equation are placed in a
synthetic division array. We try a positive real-number “test root” and get a nonzero
remainder. None of the numbers in the last row are negative. This tells us that our
“test root” is
(a) larger than all the real roots of the equation.
(b) equal to the largest real root of the equation.
(c) somewhere between the smallest and the largest real roots of the equation.
(d) equal to the smallest real root of the equation.
(e) smaller than all the real roots of the equation.
- Which of the following fractions is in lowest terms?
(a) 7/91
(b) 57/3
(c)−23/115
(d)−29/17
(e) None of the above
- Figure FE-13 shows the graphs of two quadratic functions in a real-number
rectangular coordinate plane. The origin (0, 0) is where the x and y axes intersect.
The curves do not intersect anywhere. Suppose we consider these two functions as a
system, and we find two solutions. Based on the information shown,
(a) both solutions are ordered pairs of positive real numbers.
(b) both solutions are ordered pairs of negative real numbers.
(c) one solution is an ordered pair of positive reals, and the other solution is an
ordered pair of negative reals.
x
y
Figure FE-13 Illustration for Final
Exam Question 131.
