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MATH 1113 – PRECALCULUS
Name______________________________________ Golden Opportunity
SHOW WORK FOR FULL CREDIT & CIRCLE YOUR FINAL ANSWER. DUE DATE: 10/19/2017
1. Use complete factoring to find all zeros for the polynomial function f ( x)   x 4  4 x 2  4 x 2 .
2. What is the remainder when 3x 4  7 x  2 is divided by x 2  1?
3. When x 3  kx  4 is divided by x  2, the remainder is 4. Find the real value of k .
MATH 1113 – PRECALCULUS
Name______________________________________ Golden Opportunity
SHOW WORK FOR FULL CREDIT & CIRCLE YOUR FINAL ANSWER. DUE DATE: 10/19/2017
4.
Solve the polynomial equation 2 x 4  3x 3  11x 2  9 x  15  0 given that 
5
is a root.
2
5. Find a fourth-degree polynomial function f (x) with real coefficients that has  1, 1, and i as zeros
such that f (3)  160.
6. Find the domain, vertical, and horizontal asymptotes for the graph of the rational function
f ( x) 
x2 1
.
x 3  6x 2  7x
MATH 1113 – PRECALCULUS
Name______________________________________ Golden Opportunity
SHOW WORK FOR FULL CREDIT & CIRCLE YOUR FINAL ANSWER. DUE DATE: 10/19/2017
7. If f ( x) 
x  28
, then as x  7  , f ( x)  ______ .
7x
8. Find the length of the arc on a circle of radius 24 inches intercepted by a 15⁰ central angle. Round
your answer to two decimal places.
5
9. Use the right triangle to find the value of csc .
10. If (3, ‒6) is a point on the terminal side of angle  , find the exact value of sin  .
 7

 n  , n is an integer.
 3

11. Find the exact value of cot
MATH 1113 – PRECALCULUS
Name______________________________________ Golden Opportunity
SHOW WORK FOR FULL CREDIT & CIRCLE YOUR FINAL ANSWER. DUE DATE: 10/19/2017
12. Use the right triangle in the figure below to find a. Round your answer to the nearest tenth.
13. A 20-foot ladder is used to reach the top of a 15-foot wall. If the ladder extends 3 feet beyond the
top of the wall, what angle does it make with the horizontal? Round answer to one decimal place.


14. If x  0, write sin  cos1
x
 as an algebraic expression in x.
3
15. The graph shown below is one period of the form y  A sin( Bx  C ). Determine its equation.
…
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