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MarcKrishkeTest2

# MarcKrishkeTest2 - Math 1540 Practice Test 2 3-points each...

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Math 1540 Practice Test 2 3-points each Math 1540 Test Covering Chapters 2 and 3 3-points each Name: 1.) Use the given polynomial to answer the following questions. 8 7 6 5 4 3 2 ( ) 9 11 4 6 28 40 48 window: [-5, 5, 1] and [-500, 1000,100] P x x x x x x x x x = - - + + - + - - + (a) Find all extreme points and label each point. Round your answers to the nearest hundredth. Local minimum: (1, 0) Local maxims: (-0.54,59.87), (2.6, 873.13) (b) Find the rational zero(s). Be sure to show the list of possible rational zeros. List all the integers p that are factors of the constant term, 48 p: ± 1, ± 2, ± 3, ± 4, ± 6, ± 8, ± 12, ± 16, ± 24, ± 48 List all the integers q that are factors of the leading coefficient, –1 q: ± 1

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Math 1540 Practice Test 2 3-points each Form all possible ratios p q : p q : ± 1, ± 2, ± 3, ± 4, ± 6, ± 8, ± 12, ± 16, ± 24, ± 48 check –2: 8 7 6 5 4 3 2 ( 2) ( 2) ( 2) 9( 2) 11( 2) 4( 2) 6( 2) 28( 2) 40( 2) 48 0 P - = - - - - + - + - - - + - - - - - + = check 1: 8 7 6 5 4 3 2 (1) 1 1 9(1) 11(1) 4(1) 6(1) 28(1) 40(1) 48 0 P = - - + + - + - - + = check 3: 8 7 6 5 4 3 2 (3) 3 3 9(3) 11(3) 4(3) 6(3) 28(3) 40(3) 48 0 P = - - + + - + - - + = The rational zeros are -2, 1 and 3. (c) Find the intervals where the function is increasing and decreasing. Be sure to label your intervals. The function is increasing on the intervals (- , -0.54) (1, 2.6) The function is decreasing on the intervals (-0.54, 1) (2.6, ) (d) Find the intervals where (i.) P(x)>0 and (ii.) P(x)>0 . Be sure to label your intervals
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MarcKrishkeTest2 - Math 1540 Practice Test 2 3-points each...

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