Explanation Given: The trinomial 5 x 2 − 13 x + 6 . Calculation: Since the leading coefficient is not equal to 1, therefore in order to factor the above trinomial follow the steps below: Step 1: Find first two terms whose product is 5 x 2 . 5 x 2 − 13 x + 6 = ( 5 x ) ( x ) Step 2: Find the last two terms that when multiplied give the product 6. Factors of 6 : − 1 , − 6 1 , 6 3,2 − 3 , − 2 Step 3: Now try various combinations of these factors and look for the pair of factors thatyields the sum of the outside and inside product is equal to − 13 x . Possible factorization of 5 x 2 − 13 x + 6 Sum of the outside and inside product ( 5 x − 1 ) ( x − 6 ) − 30 x − x = − 31 x ( 5 x + 1 ) ( x + 6 ) 30 x + x = 31 x ( 5 x + 3 ) ( x + 2 ) 10 x + 3 x = 13 x ( 5 x − 3 ) ( x − 2 ) − 10 x − 3 x = − 13 x Note that from the above table that ( 5 x − 3 ) ( x − 2 ) is the factorization of the trinomial 5 x 2 − 13 x + 6 such that the sum of the outside and inside product is equal to − 13 x

7th Edition

ISBN: 9780136209171

Author: Blitzer

Publisher: PEARSON

See similar textbooks

Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Videos

Question

Chapter 6.5, Problem 24E

To determine

The factor of the trinomial 5x2−13x+6 or state that the given trinomial is prime and verify the factor by using the FOIL Method.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.5, Problem 23E

Chapter 6.5, Problem 25E

Students have asked these similar questions

(b) In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The full dataset is in the Minitab file coins.mwx. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and seven from the fourth coinage (variable Coin4) which was produced a number of years later. (For the purposes of this question, you can ignore the variables Coin2 and Coin3.) In particular, in Activity 8 and Exercise 2 of Computer Book B, it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel’s reign. You are about to investigate this question using a two-sample t-interval. (i) Using Minitab, find either the sample standard deviations of the two variables…

5. (a) State the Residue Theorem. Your answer should include all the conditions required for the theorem to hold. (4 marks) (b) Let y be the square contour with vertices at -3, -3i, 3 and 3i, described in the anti-clockwise direction. Evaluate に dz. You must check all of the conditions of any results that you use. (5 marks) (c) Evaluate L You must check all of the conditions of any results that you use. ཙ x sin(Tx) x²+2x+5 da. (11 marks)

3. (a) Lety: [a, b] C be a contour. Let L(y) denote the length of y. Give a formula for L(y). (1 mark) (b) Let UCC be open. Let f: U→C be continuous. Let y: [a,b] → U be a contour. Suppose there exists a finite real number M such that |f(z)| < M for all z in the image of y. Prove that < ||, f(z)dz| ≤ ML(y). (3 marks) (c) State and prove Liouville's theorem. You may use Cauchy's integral formula without proof. (d) Let R0. Let w € C. Let (10 marks) U = { z Є C : | z − w| < R} . Let f UC be a holomorphic function such that 0 < |ƒ(w)| < |f(z)| for all z Є U. Show, using the local maximum modulus principle, that f is constant. (6 marks)

Chapter 6 Solutions

THINK.MATH.LOOSELEAF W/18 WEEK MATHLAB

Ch. 6.1 - CHECK POINT 1 Evaluate . Ch. 6.1 - CHECK POINT 2 Evaluate x 2 + 4 x − 7 for x = −...Ch. 6.1 - CHECK POINT 3 Evaluate − 3 x 2 + 4 x y − y 3 for...Ch. 6.1 - CHECK POINT 4 The mathematic model M = − 120 x 2 +...Ch. 6.1 - Prob. 5CP Ch. 6.1 - CHECK POINT 6 Simplify: 7 ( 4 x 2 + 3 x ) + 2 ( 5...Ch. 6.1 - Prob. 7CP Ch. 6.1 - Fill in each blank so that the resulting statement...Ch. 6.1 - Fill in each blank so that the resulting statement...Ch. 6.1 - Fill in each blank so that the resulting statement...

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 factor of the trinomial 5 x 2 − 13 x + 6 or state that the given trinomial is prime and verify the factor by using the FOIL Method.

Solution Summary: The author explains how to determine the factor of the trinomial 5x2-13x+6 by using the FOIL Method.

Concept explainers

Videos

The factor of the trinomial 5x2−13x+6 or state that the given trinomial is prime and verify the factor by using the FOIL Method.

Want to see the full answer?

Chapter 6 Solutions