Math 233A HW 29: Solving Polynomials & Applications in Physics & Geometry, Exercises of Algebra

Math 233a homework 29 with problems related to polynomial equations. The problems include finding the roots of a polynomial equation, determining the values of 'a' for which a function equals a constant, and applying polynomial equations to real-world problems in physics and geometry. The document also includes a problem about a gymnast's height above the ground and a problem about finding the width of a picture frame.

Typology: Exercises

2012/2013

Uploaded on 01/07/2013

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Math
233A
Homework
#29
Chapter
5.8:
Polynomial
Equations
1.
Solve
for a:
Name
2.
For /(x) =
4x^-llx
+2,
find
all
the
values
of
a
for
which
/(a)
=
-4.
3.
0.5
1 1.5
Time
(Mconds)
M
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{l.)=
-I6t^ + 8/ +
8 describes
the
height
of the
gymnast's feet above
the
ground,
s (/), 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)?
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.
•4
23
28
^pC^-blXt
1151=0
Z0<-25^fe^0
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Math 233A Homework #

Chapter 5.8: Polynomial Equations

  1. Solve for a:

Name

  1. For / ( x ) = 4 x ^ - l l x + 2 , find all the values o f a for which / (a) = - 4.

0.5 1 1. Time (Mconds)

M

A gymnast dismounts the uneven parallel bars at a height o f 8 feet with an initial upward velocity o f 8 feet per second. The function s{l.)= -I6t^ + 8/ + 8 describes the height o f the gymnast's feet above the ground, s (/), 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)?

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

•4 •

^pC^-blXt 1151=0 Z0<-25^fe^

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