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# Solutions for Chapter 4.5: Complex Zeros: The Fundamental Theorem of Algebra ## Full solutions for Algebra and Trigonometry, | 3rd Edition

ISBN: 9780840068132 Solutions for Chapter 4.5: Complex Zeros: The Fundamental Theorem of Algebra

Solutions for Chapter 4.5
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##### ISBN: 9780840068132

Chapter 4.5: Complex Zeros: The Fundamental Theorem of Algebra includes 80 full step-by-step solutions. Since 80 problems in chapter 4.5: Complex Zeros: The Fundamental Theorem of Algebra have been answered, more than 44841 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3.

Key Calculus Terms and definitions covered in this textbook

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Identity function

The function ƒ(x) = x.

• Irrational numbers

Real numbers that are not rational, p. 2.

See Polynomial function in x

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Permutation

An arrangement of elements of a set, in which order is important.

• Real part of a complex number

See Complex number.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Slant line

A line that is neither horizontal nor vertical

• Slope-intercept form (of a line)

y = mx + b

• Solve a system

To find all solutions of a system.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

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