Explanation Given information: The provided expression is t 2 − 9 t + 20 . Formula used: For factorizing a trinomial, following steps have been followed: Step 1 : The polynomials of the trinomial are arranged in decreasing order. Step 2 : For evaluating the factor of the constant term and coefficient of first-degree of the trinomial trial -and- error process is applied. Step 3 : If the constant term is positive, then the signs of the factors are of the same sign as the sign of the coefficient of the first degree. Step 4 : If the constant term is negative then one factor is positive and other is negative, if the sum of the factor is opposite of coefficient of first degree of a trinomial, changing the sign of each factor will give the required factorization. Step 5 : Verify by multiplying the evaluated binomial. Calculation: Consider the trinomial expression t 2 − 9 t + 20 . The constant term in the provided trinomial t 2 − 9 t + 20 is positive. Therefore, both the factors of the provided trinomial are of the same sign, The coefficient of first degree in the provided trinomial t 2 − 9 t + 20 is − 9 . So, consider the two factors of + 20 by trial-error-process such that they are of the same sign and also their sum is − 9 as follows, The all possible pairs of factors of + 20 are, Pairs of factors Sums of factors + 20 , + 1 + 21 + 10 , + 2 + 12 + 5 , + 4 + 9 − 20 , − 1

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 11.2, Problem 5DE

To determine

To calculate: The pairs of factorization of trinomial expression t2−9t+20.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.2, Problem 4DE

Chapter 11.2, Problem 6DE

Students have asked these similar questions

Can you prove that P(a,b) >= P(a',b) for a >= a' >= b >= 0

Figure 1 Simulation structure diagram for a turbine cold-end system. approximated by the two fourth degree polynomial equations as follows: The turbine "cold-and" system generally consists of turbine exhaust and condenser, and cooling tower (Fig. 1). For a 250 MW unit, the turbine performance data with the maximum steam throttle flow can be NHR NEW NHR Turbine and NHR = −45.19(CP)* + 420(CP)® – 1442(CP)2 + 2248(CP) +6666 (a) NKW = 4,883(CP)* – 44,890(CP)3 + 152,600(CP)2 – 231,500(CP) + 383,400. (b) The condenser and mechanical-draft cooling tower have the performance equations, respectively, CP 1.6302-0.50095 x 10-1 (CWT) OP Coupling 1 Condenser CR WFR CWT Coupling 2 WST Cooling Tower CR System Boundary 2 (The circulating water flow is assumed to flow at the rate of 145,000 gpm.) In addition to the given performance equations give above, we also need two coupling equations to complete the mathematical model for this cooling system. The first equation is the coupling between the…

Can you evaluate the following for n >0?

Chapter 11 Solutions

Developmental Mathematics (9th Edition)

Ch. 11.1 - Objective 7.7d: Use the distributive laws to...Ch. 11.1 - Prob. 2SR Ch. 11.1 - Prob. 1DE Ch. 11.1 - Prob. 2DE Ch. 11.1 - Prob. 3DE Ch. 11.1 - Prob. 4DE Ch. 11.1 - Prob. 5DE Ch. 11.1 - Prob. 6DE Ch. 11.1 - Find the GCF. GS 24m5n6,12mn3,16m2n2,8m4n4 The...Ch. 11.1 - Prob. 8DE

Knowledge Booster

Learn more about

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

The pairs of factorization of trinomial expression t 2 − 9 t + 20 .

Solution Summary: The author calculates the pairs of factorization of the trinomial expression t2-9t+20.

Videos

To calculate: The pairs of factorization of trinomial expression t2−9t+20.

Want to see the full answer?

Chapter 11 Solutions