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1. [-/5 Points] Consider the following. f(x) = x - 5x2 + 5 (a) Use the Intermediate Value Theorem and the table feature of a graphing utility to find intervals one unit in length in which the polynomial function is guaranteed to have a zero. (Select all that apply.) 0[-2, -1] / 0[-1, 0] / 6ราาอบ6บบนี้แล้วขันผดด่ะ 0 [0, 1] 0 [1, 2] 0 [4, 5] / (b) Adjust the table to approximate the zeros of the function to the nearest thousandth. (Enter your answers as a comma-separated list. Round your answers to three decimal places.) ? (x) --515 X = X- 4 X = 0 X y= (--5(-2) 45 y= (0) - 5 (0) +5 yะ(4) - 5(4)+5 - 22 Y : 0 - 0 f 5 y : 5 - 2 Yะ - 9 - 20 +5 Y = 64 - 80s - 1 -ฯ y = - 23 yะ - 11 Xะ - ๆ 5 V= (-1) -5(-1) 15 X= 1 1 yะ (1) - 501) -5 1 Y - 1 - 11 9ะ 1- 59 Y = 1 4. Yะ - 1
6. [-/5 Points] DETAILS LARPCALCLIM5 2.5.050. Consider the following. f(x) = x* + 6x2 - 27 (a) Write the polynomial as the product of factors that are irreducible over the rationals. f(x) = (b) Write the polynomial as the product of linear and quadratic factors that are irreducible over the reals. f(x) = (c) Write the polynomial in completely factored form. f(x) =
11. [-/5 Points] DETAILS LARPCALCLIM5 2.7.043.EP. Consider the following. 2 1 > X + 3 X - 2 Give the key numbers of the inequality. (Enter your answers as a comma-separated list. Give values in increasing order.) X = Use the key numbers of the inequality to determine the open test intervals. (Enter your answer as a comma-separated list of intervals.) Solve the inequality. (Enter your answer using interval notation.) | (-3,2)0(3,) Graph the solution set. Use the tools to enter your answer. -10 -8 -6 -4 -2 0 2 4 6 8 10 +++++++ NO SOL
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