Math 233A Homework 29: Solving Polynomial Equations and Applications, Exercises of Algebra

Math 233a homework 29 with problems related to polynomial equations and applications. The problems include finding the roots of a polynomial equation, solving for the time when the height of a gymnast is 8 feet, and finding the width of a picture frame given its area and outer dimensions.

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2012/2013

Uploaded on 01/07/2013

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Math
233A
Name
Homework
#29
Chapter
5.8:
Polynomial
Equations
1.
Solvefora:
2. For/(;c) = -1 Ix + 2, fmd
all
the values of
12a''
=
l6a^
+
3a a for
which
/{a) = -4.
3.
A gymnast dismounts the uneven
parallel
bars
at a height of
8
feet
with
an
initial
upward
velocity
of
8
feet per second. The function
s{t)=-\&^
+
%t
+
%
describes the height of the
gymnast's feet above the ground,
5
(/), in feet, t
seconds after
dismounting.
When
will
the
gymnast be 8 feet above the ground (show by
setting the function equal to 8 and factor)?
"""X
\
0 0.5 1 1.5 2
Time (MCond^
4.
The outer dimensions of a rectangular picture
frame measures 23 cm by 28 cm. The picture
itself
has an area of
414
sq. cm.
Find
the
width
of
the frame.
^
k
23
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Math 233A Name Homework # Chapter 5.8: Polynomial Equations

  1. Solvefora: 2. F o r / ( ; c ) = -1 Ix + 2, fmd all the values of 12a'' = l6a^ + 3a a for which / {a) = - 4.
  2. A gymnast dismounts the uneven parallel bars at a height of 8 feet with an initial upward velocity of 8 feet per second. The function s{t)=-&^ + %t + % describes the height of the gymnast's feet above the ground, 5 (/), in feet, t seconds after dismounting. When will the gymnast be 8 feet above the ground (show by setting the function equal to 8 and factor)?

"""X \

0 0.5 1 1.5 2 Time (MCond^

  1. The outer dimensions of a rectangular picture frame measures 23 cm by 28 cm. The picture itself has an area of 414 sq. cm. Find the width of the frame.

^— k

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