Problem 1 YA Select all 15 points where 10 D F relative E A C minimum -10 8 /6 -4 -2 -5 2 4 6 18 values B H occur on -10 this graph -15 of a

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 1
y
Select all
15
points
10
where
D
relative
A
minimum
10 8
-4
-2
2
4
6.
values
-5
H
occur on
-10
this graph
-15
of a
-20
polynomial
function.
A:
Point \(A\)
B:
Point \(B\)
C:
Point \(C\)
D:
Point \(D\)
E:
Point \(E\)
F:
Point \(F\)
G:
Point \(G\)
H:
Point \(H\)
Problem 2
Add one term to the polynomial expression
\(14x^{19}-9x^{15}+11x^4+5x^2+3\) to
make it into a 22nd degree polynomial.
Transcribed Image Text:Problem 1 y Select all 15 points 10 where D relative A minimum 10 8 -4 -2 2 4 6. values -5 H occur on -10 this graph -15 of a -20 polynomial function. A: Point \(A\) B: Point \(B\) C: Point \(C\) D: Point \(D\) E: Point \(E\) F: Point \(F\) G: Point \(G\) H: Point \(H\) Problem 2 Add one term to the polynomial expression \(14x^{19}-9x^{15}+11x^4+5x^2+3\) to make it into a 22nd degree polynomial.
Problem 3
Identify the degree, leading coefficient, and
constant value of each of the following
polynomials:
1. \(f(x)=x^3 - 8 x^2 - x + 8\)
2. \(h(x)=2 x^4 + x^3 - 3 x^2 - x + 1\)
3. \(g(x)=13.2 x^3+3 x^4 - x - 4.4\)
Problem 4
We want to make an open-top box by
cutting out corners of a square piece of
cardboard and folding up the sides. The
cardboard is a 9 inch by 9 inch square. The
volume \(V(x)\) in cubic inches of the open-
top box is a function of the side length \(x\)
in inches of the square cutouts.
1. Write an expression for \(V(x)\).
2. What is the volume of the box when \(x=1\)?
3. What is a reasonable domain for \(V\) in this
context?
(From Unit 2, Lesson 1.)
Problem 5
Consider the polynomial function \(p\)
given by \(p(x)=7x^3 - 2x^2 + 3x+10\).
Evaluate the function at \(x=\text-3\).
Transcribed Image Text:Problem 3 Identify the degree, leading coefficient, and constant value of each of the following polynomials: 1. \(f(x)=x^3 - 8 x^2 - x + 8\) 2. \(h(x)=2 x^4 + x^3 - 3 x^2 - x + 1\) 3. \(g(x)=13.2 x^3+3 x^4 - x - 4.4\) Problem 4 We want to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is a 9 inch by 9 inch square. The volume \(V(x)\) in cubic inches of the open- top box is a function of the side length \(x\) in inches of the square cutouts. 1. Write an expression for \(V(x)\). 2. What is the volume of the box when \(x=1\)? 3. What is a reasonable domain for \(V\) in this context? (From Unit 2, Lesson 1.) Problem 5 Consider the polynomial function \(p\) given by \(p(x)=7x^3 - 2x^2 + 3x+10\). Evaluate the function at \(x=\text-3\).
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