MATH 1200 Midterm: Exam2A-2Fall 2018

Find a bound on the zeros of the polynomial function. f(x) = 3x4 + 12x3 - x2 - 12x - 15 Every real zero of f lies between - and . Solve the inequality algebraically. Verify your result using a graphing utility. 3(x2 + 2)0 Using interval, enter the solution set of the given inequality. complete your choice. The solution set is . (Type your answer in interval notation. Simplify your answer. There is no solution. Information is given about a polynomial f(x) whose coefficients are real numbers. Degree 6; -4, -1 + i,-8-i , 9 Enter the remaining zeros of f. (Use a comma to separate answer as needed.) Solve the equation in the real number system. 5x4 - 86x3 + 297x2 - 316x + 52 = 0 What are the real solution of the equation? Sel x = Solve the following inequality. Choose the correct solution. Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: -9; -i; -8 + i Enter the polynomial. f(x) = a( ) (Type an expression using x as the variable . using integers or fractions for any num Use the given zero to find the remaining zeros of the function. f(x) = x3 -5x2 + 4x - 20; zero: -2i Enter the remaining zeros of f. Use the given zero to find the remaining zeros of the function. h(x) = 3x4 + 10x3 +19x2 + 90x - 72; zero: -3i The remaining zeros of h are .

Math 1312 Practice Exam 2 There will be 6 or 7 problems on the actual test. All of them will be similar to the problems shown here. (Note that in the given solutions, all work is not shown) 1) Find a formula for an,n 1. 1-49-1625 2 3'4 5 6 2) Find the exact sum of the series, if possible, 135m Determine if the following series converge or diverge. You need to clearly state which test you are using, and show all of your work. 3) c) 1(2n):(n-1) e) f) Σ-1co.nn) Σ-=ínti (use Divergence Test, lim-loso series diverges) 4) Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 3n 5) Find an expression for the general term of the following series. Give the starting value for the index (x-2)2-2) 2))2)10 2 16 32 6) Use the ratio test to find the radius of convergence of the power series.

Solve the following inequality. x+17/x - 9 >=1 Choose the correct solution. [9, infinity) ( -infinity, 9) (--infinity,9) (9,infinity) (9,infinity) ( --infinity, infinity) Solve the following inequality. (x-4)(x-5)(x-6)3(X-3)2-X2 The solution set is . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 3; - i; - 8 + i Enter the polynomial. f(x) = a (Type an expression using x as the variable. Use integers or fractions for any numbers in the expression. Simplify your answer.) Solve the equation in the real number system. 7x4 - 64x3 + 177x2 -164x + 20 = 0 What are the real solutions of the equation? Select the correct choice below and fill in any answer boxes in your choice. x= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once; do not duplicate answers in the case of repeated roots.) There are no real solutions. Use the given zero to find the remaining zeros of the function. h(x) = 4x4 + 13x3 + 24x2 +117x - 108; zero: -3i The remaining zeros of h are . (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) Use the given zero to find the remaining zeros of the function. f(x) = x3 - 7x2 + 36x - 252: zero: 6i Enter the remaining zeros of f. (Use a comma to separate answers as needed.) Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 6; zeros: 9, 8 + i, -2-i, -8 Enter the remaining zeros of f. (Use a comma to separate answers as needed.) Find a bound on the real zeros of the polynomial function. f(x) = 3x4 + 6x3 - x2 - 12x - 9 Every real zero of f lies between - and .