Add one term to the polynomial expression 14x19 22nd degree polynomial. 9x15 + 11x4 + 5x2 +3 to make it into a -

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.8: Factoring Pattern For X2+bx+c, C Negative
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Problem 2
Add one term to the polynomial expression
14x19 – 9x15 + 11x4 + 5x² + 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) = x³ – 8x? – x + 8
2. h(x) = 2x + x³ – 3x² – x +1
3. g(x) = 13.2x³ + 3x4 – 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) = 7x3 – 2x? + 3x + 10. Evaluate the
function at x = -3.
Transcribed Image Text:Problem 2 Add one term to the polynomial expression 14x19 – 9x15 + 11x4 + 5x² + 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) = x³ – 8x? – x + 8 2. h(x) = 2x + x³ – 3x² – x +1 3. g(x) = 13.2x³ + 3x4 – 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) = 7x3 – 2x? + 3x + 10. Evaluate the function at x = -3.
Problem 1
yA
Select all
15
points where
relative
D
minimum
E.
values occur
on this graph
-10 8
6 -4 -2
2
18
4.
6
of a
-5
polynomial
-10
function.
-15
-20
A:
Point A
Point B
C:
Point C
D:
Point D
E:
Point E
F:
Point F
G:
Point G
H:
Point H
B:
Transcribed Image Text:Problem 1 yA Select all 15 points where relative D minimum E. values occur on this graph -10 8 6 -4 -2 2 18 4. 6 of a -5 polynomial -10 function. -15 -20 A: Point A Point B C: Point C D: Point D E: Point E F: Point F G: Point G H: Point H B:
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