 Chapter 6.1: A point on the graph of a polynomial function that has no other nea...
 Chapter 6.2: The _______ is the coefficient of the term in a polynomial function...
 Chapter 6.3: (x2)2  17(x2) + 16 = 0 is written in _
 Chapter 6.4: A shortcut method known as ____ is used to divide polynomials by bi...
 Chapter 6.5: A number is expressed in ________ when it is in the form a 10n, whe...
 Chapter 6.6: The __________ is the sum of the exponents of the variables of a mo...
 Chapter 6.7: The __________ is the sum of the exponents of the variables of a mo...
 Chapter 6.8: When we ________ an expression, we rewrite it without parentheses o...
 Chapter 6.9: What a graph does as x approaches positive infinity or negative inf...
 Chapter 6.10: The use of synthetic division to evaluate a function is called_____...
 Chapter 6.11: Simplify. Assume that no variable equals 0.
 Chapter 6.12: Simplify. Assume that no variable equals 0.
 Chapter 6.13: Simplify. Assume that no variable equals 0.
 Chapter 6.14: Simplify. Assume that no variable equals 0.
 Chapter 6.15: Assume that there are 10,000 runners in a marathon and each runner ...
 Chapter 6.16: Simplify.
 Chapter 6.17: Simplify.
 Chapter 6.18: Simplify.
 Chapter 6.19: Simplify.
 Chapter 6.20: The cost of renting a car is $40 per day plus $0.10 per mile. If a ...
 Chapter 6.21: Simplify.
 Chapter 6.22: Simplify.
 Chapter 6.23: Simplify.
 Chapter 6.24: Find p(4) and p(x + h) for each function.
 Chapter 6.25: Find p(4) and p(x + h) for each function.
 Chapter 6.26: Find p(4) and p(x + h) for each function.
 Chapter 6.27: Find p(4) and p(x + h) for each function.
 Chapter 6.28: Find p(4) and p(x + h) for each function.
 Chapter 6.29: Find p(4) and p(x + h) for each function.
 Chapter 6.30: The average depth of a tsunami can be modeled by d(s) = _s 356 2 , ...
 Chapter 6.31: For Exercises 3136, complete each of the following. a. Graph each f...
 Chapter 6.32: For Exercises 3136, complete each of the following. a. Graph each f...
 Chapter 6.33: For Exercises 3136, complete each of the following. a. Graph each f...
 Chapter 6.34: For Exercises 3136, complete each of the following. a. Graph each f...
 Chapter 6.35: For Exercises 3136, complete each of the following. a. Graph each f...
 Chapter 6.36: For Exercises 3136, complete each of the following. a. Graph each f...
 Chapter 6.37: A small business monthly profits for the first half of 2006 can be ...
 Chapter 6.38: Factor completely. If the polynomial is not factorable, write prime.
 Chapter 6.39: Factor completely. If the polynomial is not factorable, write prime.
 Chapter 6.40: Factor completely. If the polynomial is not factorable, write prime.
 Chapter 6.41: Factor completely. If the polynomial is not factorable, write prime.
 Chapter 6.42: Solve each equation
 Chapter 6.43: Solve each equation
 Chapter 6.44: Solve each equation
 Chapter 6.45: Solve each equation
 Chapter 6.46: The area of a dining room is 160 square feet. A rectangular rug pla...
 Chapter 6.47: Use synthetic substitution to find f(3) and f(2) for each function.
 Chapter 6.48: Use synthetic substitution to find f(3) and f(2) for each function.
 Chapter 6.49: Use synthetic substitution to find f(3) and f(2) for each function.
 Chapter 6.50: Given a polynomial and one of its factors, find the remaining facto...
 Chapter 6.51: Given a polynomial and one of its factors, find the remaining facto...
 Chapter 6.52: The volume of water in a rectangular fish tank can be modeled by th...
 Chapter 6.53: State the possible number of positive real zeros, negative real zer...
 Chapter 6.54: State the possible number of positive real zeros, negative real zer...
 Chapter 6.55: State the possible number of positive real zeros, negative real zer...
 Chapter 6.56: State the possible number of positive real zeros, negative real zer...
 Chapter 6.57: Assume that a rectangular prism is a good model for the artwork. Wr...
 Chapter 6.58: Assume that a rectangular prism is a good model for the artwork. Wr...
 Chapter 6.59: Find all of the rational zeros of each function.
 Chapter 6.60: Find all of the rational zeros of each function.
 Chapter 6.61: Find all of the rational zeros of each function.
 Chapter 6.62: Find all of the rational zeros of each function.
 Chapter 6.63: Find all of the rational zeros of each function.
 Chapter 6.64: The height of a shipping cylinder is 4 feet more than the radius. I...
Solutions for Chapter Chapter 6: Polynomial Functions
Full solutions for California Algebra 2: Concepts, Skills, and Problem Solving  1st Edition
ISBN: 9780078778568
Solutions for Chapter Chapter 6: Polynomial Functions
Get Full SolutionsCalifornia Algebra 2: Concepts, Skills, and Problem Solving was written by and is associated to the ISBN: 9780078778568. This textbook survival guide was created for the textbook: California Algebra 2: Concepts, Skills, and Problem Solving, edition: 1. Since 64 problems in chapter Chapter 6: Polynomial Functions have been answered, more than 47791 students have viewed full stepbystep solutions from this chapter. Chapter Chapter 6: Polynomial Functions includes 64 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Augmented matrix [A b].
Ax = b is solvable when b is in the column space of A; then [A b] has the same rank as A. Elimination on [A b] keeps equations correct.

Column space C (A) =
space of all combinations of the columns of A.

Diagonal matrix D.
dij = 0 if i # j. Blockdiagonal: zero outside square blocks Du.

Dimension of vector space
dim(V) = number of vectors in any basis for V.

Distributive Law
A(B + C) = AB + AC. Add then multiply, or mUltiply then add.

Dot product = Inner product x T y = XI Y 1 + ... + Xn Yn.
Complex dot product is x T Y . Perpendicular vectors have x T y = O. (AB)ij = (row i of A)T(column j of B).

Fibonacci numbers
0,1,1,2,3,5, ... satisfy Fn = Fnl + Fn 2 = (A7 A~)I()q A2). Growth rate Al = (1 + .J5) 12 is the largest eigenvalue of the Fibonacci matrix [ } A].

Fourier matrix F.
Entries Fjk = e21Cijk/n give orthogonal columns FT F = nI. Then y = Fe is the (inverse) Discrete Fourier Transform Y j = L cke21Cijk/n.

Identity matrix I (or In).
Diagonal entries = 1, offdiagonal entries = 0.

Left inverse A+.
If A has full column rank n, then A+ = (AT A)I AT has A+ A = In.

Left nullspace N (AT).
Nullspace of AT = "left nullspace" of A because y T A = OT.

Minimal polynomial of A.
The lowest degree polynomial with meA) = zero matrix. This is peA) = det(A  AI) if no eigenvalues are repeated; always meA) divides peA).

Normal matrix.
If N NT = NT N, then N has orthonormal (complex) eigenvectors.

Standard basis for Rn.
Columns of n by n identity matrix (written i ,j ,k in R3).

Stiffness matrix
If x gives the movements of the nodes, K x gives the internal forces. K = ATe A where C has spring constants from Hooke's Law and Ax = stretching.

Toeplitz matrix.
Constant down each diagonal = timeinvariant (shiftinvariant) filter.

Trace of A
= sum of diagonal entries = sum of eigenvalues of A. Tr AB = Tr BA.

Triangle inequality II u + v II < II u II + II v II.
For matrix norms II A + B II < II A II + II B IIĀ·

Vector v in Rn.
Sequence of n real numbers v = (VI, ... , Vn) = point in Rn.

Volume of box.
The rows (or the columns) of A generate a box with volume I det(A) I.