Explanation Given: The rational expression is, z 2 + 5 z + 6 2 z 2 − 5 z − 3 ⋅ 2 z 2 − z − 1 z 2 + 2 z − 3 Approach: Properties of Rational Expressions, For all mathematical expressions P , Q , R , and S , with Q ≠ 0 and S ≠ 0 : The fundamental property is, P Q = P S Q S The multiplication is, P Q ⋅ R S = P R Q S Calculation: Factories the numerator and denominator of the rational expressions, z 2 + 5 z + 6 2 z 2 − 5 z − 3 ⋅ 2 z 2 − z − 1 z 2 + 2 z − 3 = z 2 + 3 z + 2 z + 6 2 z 2 − 6 z + z − 3 ⋅ 2 z 2 − 2 z + z − 1 z 2 + 3 z − z − 3 = ( z + 3 ) ( z + 2 ) ( z − 3 ) ( 2 z + 1 ) ⋅ ( z − 1 ) ( 2 z + 1 ) ( z + 3 ) ( z − 1 ) Calculate the product of the above rational expression To determine (b) The sum of the rational expression.

2nd Edition

ISBN: 9780321964458

Author: Lial

Publisher: PEARSON EDUCATION (COLLEGE)

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Question

Chapter R.3, Problem 2YT

To determine

(a)

The product of the rational expression z2+5z+62z2−5z−3⋅2z2−z−1z2+2z−3.

To determine

(b)

The sum of the rational expression.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter R.3, Problem 1YT

Chapter R.3, Problem 1E

Students have asked these similar questions

Simplify (3x³ + 5x − 1) ÷ (x + 1) O 3z² + 3z +8+- O 3x³-3z² +8z-9 3x³ +3z² +8z+7 O 32²²-3z+8-1

63x2 – 89xy + 30y² = (9x – 5y)(7x,

perform the indicated operation ( 8r2+5r-14)+(-7r2-17r+7)=

Chapter R Solutions

EBK CALCULUS FOR THE LIFE SCIENCES

Ch. R.1 - YOUR TURN 1 Perform the operation...Ch. R.1 - YOUR TURN 2 Perform the operation (3y+2)(4y22y5).Ch. R.1 - Prob. 1E Ch. R.1 - Prob. 2E Ch. R.1 - Prob. 3E Ch. R.1 - Prob. 4E Ch. R.1 - Prob. 5E Ch. R.1 - Perform the indicated operations....Ch. R.1 - Perform the indicated operations. 9m(2m2+3m1)Ch. R.1 - Prob. 8E

Ch. R.1 - Prob. 9E Ch. R.1 - Prob. 10E Ch. R.1 - Perform the indicated operations. (23x)(2+3x)Ch. R.1 - Prob. 12E Ch. R.1 - Prob. 13E Ch. R.1 - Perform the indicated operations....Ch. R.1 - Prob. 15E Ch. R.1 - Prob. 16E Ch. R.1 - Prob. 17E Ch. R.1 - Prob. 18E Ch. R.1 - Prob. 19E Ch. R.1 - Perform the indicated operations. (r+2s3t)(2r2s+t)Ch. R.1 - Prob. 21E Ch. R.1 - Prob. 22E Ch. R.1 - Prob. 23E Ch. R.1 - Prob. 24E Ch. R.1 - Prob. 25E Ch. R.1 - Prob. 26E Ch. R.2 - YOUR TURN 1 Factor 4z4+4z3+18z2.Ch. R.2 - Prob. 2YT Ch. R.2 - Prob. 1E Ch. R.2 - Prob. 2E Ch. R.2 - Prob. 3E Ch. R.2 - Prob. 4E Ch. R.2 - Prob. 5E Ch. R.2 - Prob. 6E Ch. R.2 - Prob. 7E Ch. R.2 - Prob. 8E Ch. R.2 - Prob. 9E Ch. R.2 - Prob. 10E Ch. R.2 - Prob. 11E Ch. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 13E Ch. R.2 - Prob. 14E Ch. R.2 - Prob. 15E Ch. R.2 - Prob. 16E Ch. R.2 - Prob. 17E Ch. R.2 - Prob. 18E Ch. R.2 - Prob. 19E Ch. R.2 - Prob. 20E Ch. R.2 - Prob. 21E Ch. R.2 - Prob. 22E Ch. R.2 - Prob. 23E Ch. R.2 - Prob. 24E Ch. R.2 - Prob. 25E Ch. R.2 - Prob. 26E Ch. R.2 - Prob. 27E Ch. R.2 - Prob. 28E Ch. R.2 - Prob. 29E Ch. R.2 - Factor each polynomial. If a polynomial cannot be...Ch. R.2 - Prob. 31E Ch. R.2 - Prob. 32E Ch. R.3 - YOUR TURN 1 Write in lowest terms. z2+5z+62z2+7z+3 Ch. R.3 - Prob. 2YT Ch. R.3 - Prob. 1E Ch. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 3E Ch. R.3 - Prob. 4E Ch. R.3 - Prob. 5E Ch. R.3 - Prob. 6E Ch. R.3 - Prob. 7E Ch. R.3 - Prob. 8E Ch. R.3 - Write each rational expression in lowest terms....Ch. R.3 - Prob. 10E Ch. R.3 - Prob. 11E Ch. R.3 - Prob. 12E Ch. R.3 - Prob. 13E Ch. R.3 - Prob. 14E Ch. R.3 - Prob. 15E Ch. R.3 - Prob. 16E Ch. R.3 - Prob. 17E Ch. R.3 - Prob. 18E Ch. R.3 - Prob. 19E Ch. R.3 - Prob. 20E Ch. R.3 - Prob. 21E Ch. R.3 - Prob. 22E Ch. R.3 - Prob. 23E Ch. R.3 - Prob. 24E Ch. R.3 - Prob. 25E Ch. R.3 - Prob. 26E Ch. R.3 - Prob. 27E Ch. R.3 - Prob. 28E Ch. R.3 - Prob. 29E Ch. R.3 - Prob. 30E Ch. R.3 - Prob. 31E Ch. R.3 - Prob. 32E Ch. R.3 - Prob. 33E Ch. R.3 - Prob. 34E Ch. R.3 - Prob. 35E Ch. R.3 - Prob. 36E Ch. R.3 - Prob. 37E Ch. R.3 - Prob. 38E Ch. R.4 - YOUR TURN 1 Solve 3x7=4(5x+2)7x.Ch. R.4 - Prob. 2YT Ch. R.4 - Prob. 3YT Ch. R.4 - Prob. 4YT Ch. R.4 - Prob. 1E Ch. R.4 - Prob. 2E Ch. R.4 - Prob. 3E Ch. R.4 - Prob. 4E Ch. R.4 - Prob. 5E Ch. R.4 - Prob. 6E Ch. R.4 - Prob. 7E Ch. R.4 - Solve each equation 4[2p(3p)+5]=7p2 Ch. R.4 - Prob. 9E Ch. R.4 - Prob. 10E Ch. R.4 - Prob. 11E Ch. R.4 - Prob. 12E Ch. R.4 - Prob. 13E Ch. R.4 - Prob. 14E Ch. R.4 - Prob. 15E Ch. R.4 - Prob. 16E Ch. R.4 - Prob. 17E Ch. R.4 - Prob. 18E Ch. R.4 - Prob. 19E Ch. R.4 - Solve each equation by factoring or by using the...Ch. R.4 - Prob. 21E Ch. R.4 - Prob. 22E Ch. R.4 - Prob. 23E Ch. R.4 - Prob. 24E Ch. R.4 - Prob. 25E Ch. R.4 - Prob. 26E Ch. R.4 - Prob. 27E Ch. R.4 - Prob. 28E Ch. R.4 - Prob. 29E Ch. R.4 - Prob. 30E Ch. R.4 - Prob. 31E Ch. R.4 - Prob. 32E Ch. R.4 - Prob. 33E Ch. R.4 - Prob. 34E Ch. R.4 - Prob. 35E Ch. R.4 - Prob. 36E Ch. R.4 - Prob. 37E Ch. R.5 - YOUR TURN Solve 3z25z+7.Ch. R.5 - Prob. 2YT Ch. R.5 - Prob. 3YT Ch. R.5 - Prob. 1E Ch. R.5 - Prob. 2E Ch. R.5 - Prob. 3E Ch. R.5 - Prob. 4E Ch. R.5 - Prob. 5E Ch. R.5 - Prob. 6E Ch. R.5 - Prob. 7E Ch. R.5 - Prob. 8E Ch. R.5 - Prob. 9E Ch. R.5 - Prob. 10E Ch. R.5 - Prob. 11E Ch. R.5 - Prob. 12E Ch. R.5 - Prob. 13E Ch. R.5 - Prob. 14E Ch. R.5 - Prob. 15E Ch. R.5 - Prob. 16E Ch. R.5 - Prob. 17E Ch. R.5 - Prob. 18E Ch. R.5 - Prob. 19E Ch. R.5 - Prob. 20E Ch. R.5 - Prob. 21E Ch. R.5 - Solve each inequality and graph the solution....Ch. R.5 - Prob. 23E Ch. R.5 - Prob. 24E Ch. R.5 - Prob. 25E Ch. R.5 - Prob. 26E Ch. R.5 - Prob. 27E Ch. R.5 - Prob. 28E Ch. R.5 - Prob. 29E Ch. R.5 - Prob. 30E Ch. R.5 - Prob. 31E Ch. R.5 - Prob. 32E Ch. R.5 - Prob. 33E Ch. R.5 - Prob. 34E Ch. R.5 - Prob. 35E Ch. R.5 - Prob. 36E Ch. R.5 - Prob. 37E Ch. R.5 - Prob. 38E Ch. R.5 - Prob. 39E Ch. R.5 - Prob. 40E Ch. R.5 - Prob. 41E Ch. R.5 - Prob. 42E Ch. R.5 - Solve each inequality. m3m+50 Ch. R.5 - Prob. 44E Ch. R.5 - Prob. 45E Ch. R.5 - Prob. 46E Ch. R.5 - Prob. 47E Ch. R.5 - Prob. 48E Ch. R.5 - Prob. 49E Ch. R.5 - Prob. 50E Ch. R.5 - Prob. 51E Ch. R.5 - Prob. 52E Ch. R.5 - Prob. 53E Ch. R.5 - Prob. 54E Ch. R.6 - YOUR TURN 1 Simplify (y2z4y3z4)2.Ch. R.6 - YOUR TURN 2 Factor 5z1/3+4z2/3.Ch. R.6 - Evaluate each expression. Write all answers...Ch. R.6 - Prob. 2E Ch. R.6 - Prob. 3E Ch. R.6 - Prob. 4E Ch. R.6 - Prob. 5E Ch. R.6 - Prob. 6E Ch. R.6 - Prob. 7E Ch. R.6 - Prob. 8E Ch. R.6 - Prob. 9E Ch. R.6 - Prob. 10E Ch. R.6 - Prob. 11E Ch. R.6 - Simplify each expression. Assume that all...Ch. R.6 - Prob. 13E Ch. R.6 - Prob. 14E Ch. R.6 - Prob. 15E Ch. R.6 - Prob. 16E Ch. R.6 - Prob. 17E Ch. R.6 - Prob. 18E Ch. R.6 - Prob. 19E Ch. R.6 - Prob. 20E Ch. R.6 - Prob. 21E Ch. R.6 - Prob. 22E Ch. R.6 - Prob. 23E Ch. R.6 - Simplify each expression, writing the answer as a...Ch. R.6 - Prob. 25E Ch. R.6 - Simplify each expression, writing the answer as a...Ch. R.6 - Prob. 27E Ch. R.6 - Prob. 28E Ch. R.6 - Prob. 29E Ch. R.6 - Prob. 30E Ch. R.6 - Prob. 31E Ch. R.6 - Prob. 32E Ch. R.6 - Prob. 33E Ch. R.6 - Prob. 34E Ch. R.6 - Prob. 35E Ch. R.6 - Prob. 36E Ch. R.6 - Prob. 37E Ch. R.6 - Prob. 38E Ch. R.6 - Prob. 39E Ch. R.6 - Prob. 40E Ch. R.6 - Prob. 41E Ch. R.6 - Prob. 42E Ch. R.6 - Prob. 43E Ch. R.6 - Prob. 44E Ch. R.6 - Prob. 45E Ch. R.6 - Prob. 46E Ch. R.6 - Prob. 47E Ch. R.6 - Prob. 48E Ch. R.6 - Prob. 49E Ch. R.6 - Prob. 50E Ch. R.6 - Prob. 51E Ch. R.6 - Prob. 52E Ch. R.6 - Prob. 53E Ch. R.6 - Prob. 54E Ch. R.6 - Prob. 55E Ch. R.6 - Prob. 56E Ch. R.7 - YOUR TURN Simplify 28x9y5.Ch. R.7 - Prob. 2YT Ch. R.7 - Prob. 1E Ch. R.7 - Prob. 2E Ch. R.7 - Prob. 3E Ch. R.7 - Prob. 4E Ch. R.7 - Prob. 5E Ch. R.7 - Prob. 6E Ch. R.7 - Prob. 7E Ch. R.7 - Prob. 8E Ch. R.7 - Simplify each expression by removing as many...Ch. R.7 - Prob. 10E Ch. R.7 - Prob. 11E Ch. R.7 - Prob. 12E Ch. R.7 - Prob. 13E Ch. R.7 - Prob. 14E Ch. R.7 - Prob. 15E Ch. R.7 - Prob. 16E Ch. R.7 - Prob. 17E Ch. R.7 - Prob. 18E Ch. R.7 - Prob. 19E Ch. R.7 - Prob. 20E Ch. R.7 - Prob. 21E Ch. R.7 - Prob. 22E Ch. R.7 - Prob. 23E Ch. R.7 - Prob. 24E Ch. R.7 - Prob. 25E Ch. R.7 - Prob. 26E Ch. R.7 - Prob. 27E Ch. R.7 - Prob. 28E Ch. R.7 - Prob. 29E Ch. R.7 - Prob. 30E Ch. R.7 - Prob. 31E Ch. R.7 - Prob. 32E Ch. R.7 - Prob. 33E Ch. R.7 - Prob. 34E Ch. R.7 - Prob. 35E Ch. R.7 - Prob. 36E Ch. R.7 - Rationalize each denominator. Assume that all...Ch. R.7 - Prob. 38E Ch. R.7 - Prob. 39E Ch. R.7 - Prob. 40E Ch. R.7 - Rationalize each numerator. Assume that all...Ch. R.7 - Rationalize each numerator. Assume that all...Ch. R.7 - Rationalize each numerator. Assume that all...Ch. R.7 - Prob. 44E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

(a) The product of the rational expression z 2 + 5 z + 6 2 z 2 − 5 z − 3 ⋅ 2 z 2 − z − 1 z 2 + 2 z − 3 .

Solution Summary: The author explains that the product of the rational expression is z+2.

Concept explainers

Videos

(a)

The product of the rational expression z2+5z+62z2−5z−3⋅2z2−z−1z2+2z−3.

(b)

The sum of the rational expression.

Want to see the full answer?

Chapter R Solutions

(a) The product of the rational expression z 2 + 5 z + 6 2 z 2 − 5 z − 3 ⋅ 2 z 2 − z − 1 z 2 + 2 z − 3 .

Solution Summary: The author explains that the product of the rational expression is z+2.

Concept explainers

Videos

(a) The product of the rational expression z2+5z+62z2−5z−3⋅2z2−z−1z2+2z−3.

(b) The sum of the rational expression.

Want to see the full answer?

Chapter R Solutions

(a)

The product of the rational expression z2+5z+62z2−5z−3⋅2z2−z−1z2+2z−3.

(b)

The sum of the rational expression.