 10.5.1: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.2: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.3: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.4: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.5: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.6: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.7: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.8: In Exercises 1 8, evaluate the given binomial coefficient.
 10.5.9: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.10: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.11: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.12: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.13: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.14: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.15: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.16: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.17: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.18: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.19: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.20: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.21: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.22: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.23: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.24: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.25: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.26: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.27: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.28: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.29: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.30: In Exercises 9 30, use the Binomial Theorem to expand each binomial...
 10.5.31: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.32: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.33: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.34: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.35: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.36: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.37: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.38: In Exercises 31 38, write the first three terms in each binomial ex...
 10.5.39: In Exercises 39 48, find the term indicated in each expansion.
 10.5.40: In Exercises 39 48, find the term indicated in each expansion.
 10.5.41: In Exercises 39 48, find the term indicated in each expansion.
 10.5.42: In Exercises 39 48, find the term indicated in each expansion.
 10.5.43: In Exercises 39 48, find the term indicated in each expansion.
 10.5.44: In Exercises 39 48, find the term indicated in each expansion.
 10.5.45: In Exercises 39 48, find the term indicated in each expansion.
 10.5.46: In Exercises 39 48, find the term indicated in each expansion.
 10.5.47: In Exercises 39 48, find the term indicated in each expansion.
 10.5.48: In Exercises 39 48, find the term indicated in each expansion.
 10.5.49: In Exercises 49 52, use the Binomial Theorem to expand each express...
 10.5.50: In Exercises 49 52, use the Binomial Theorem to expand each express...
 10.5.51: In Exercises 49 52, use the Binomial Theorem to expand each express...
 10.5.52: In Exercises 49 52, use the Binomial Theorem to expand each express...
 10.5.53: In Exercises 53 54, find f1x + h2  f1x2hand simplify
 10.5.54: In Exercises 53 54, find f1x + h2  f1x2hand simplify
 10.5.55: Find the middle term in the expansion of
 10.5.56: Find the middle term in the expansion of
 10.5.57: The probability that a smoker suffers from depression is 0.28. If f...
 10.5.58: Explain how to evaluate Provide an example with your explanation
 10.5.59: Explain how to evaluate Provide an example with your explanation
 10.5.60: Describe the pattern on the exponents on in the expansion of
 10.5.61: Describe the pattern on the exponents on in the expansion of
 10.5.62: What is true about the sum of the exponents on and in any term in t...
 10.5.63: How do you determine how many terms there are in a binomial expansion?
 10.5.64: Explain how to use the Binomial Theorem to expand a binomial. Provi...
 10.5.65: Explain how to find a particular term in a binomial expansion witho...
 10.5.66: Describe how you would use mathematical induction to prove What hap...
 10.5.67: Use the key on a graphing utility to verify your answers in Exercis...
 10.5.68: In Exercises 68 69, graph each of the functions in the same viewing...
 10.5.69: In Exercises 68 69, graph each of the functions in the same viewing...
 10.5.70: In Exercises 70 72, use the Binomial Theorem to find a polynomial e...
 10.5.71: In Exercises 70 72, use the Binomial Theorem to find a polynomial e...
 10.5.72: In Exercises 70 72, use the Binomial Theorem to find a polynomial e...
 10.5.73: In Exercises 73 76, determine whether each statement makes sense or...
 10.5.74: In Exercises 73 76, determine whether each statement makes sense or...
 10.5.75: In Exercises 73 76, determine whether each statement makes sense or...
 10.5.76: In Exercises 73 76, determine whether each statement makes sense or...
 10.5.77: In Exercises 77 80, determine whether each statement is true or fal...
 10.5.78: In Exercises 77 80, determine whether each statement is true or fal...
 10.5.79: In Exercises 77 80, determine whether each statement is true or fal...
 10.5.80: In Exercises 77 80, determine whether each statement is true or fal...
 10.5.81: Use the Binomial Theorem to expand and then simplify the result: Hi...
 10.5.82: Find the term in the expansion of containing as a factor.
 10.5.83: Prove that
 10.5.84: Show that Hints: 1r + 12! = 1r + 12r!
 10.5.85: Follow the outline below and use mathematical induction to prove th...
 10.5.86: Exercises 86 88 will help you prepare for the material covered in t...
 10.5.87: Exercises 86 88 will help you prepare for the material covered in t...
 10.5.88: Exercises 86 88 will help you prepare for the material covered in t...
Solutions for Chapter 10.5: The Binomial Theorem
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 10.5: The Binomial Theorem
Get Full SolutionsSince 88 problems in chapter 10.5: The Binomial Theorem have been answered, more than 67858 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780321559845. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Chapter 10.5: The Binomial Theorem includes 88 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

Convenience sample
A sample that sacrifices randomness for convenience

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

Direction of an arrow
The angle the arrow makes with the positive xaxis

Divisor of a polynomial
See Division algorithm for polynomials.

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

Gaussian curve
See Normal curve.

Inverse cosecant function
The function y = csc1 x

Leading coefficient
See Polynomial function in x

Magnitude of a real number
See Absolute value of a real number

Negative linear correlation
See Linear correlation.

Normal distribution
A distribution of data shaped like the normal curve.

Polar coordinates
The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Second quartile
See Quartile.

ycoordinate
The directed distance from the xaxis xzplane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.