/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 20 Factor each trinomial, or state ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 20

Factor each trinomial, or state that the trinomial is prime. $$x^{2}-4 x-5$$

Short Answer

Expert verified
The factored form of the trinomial \(x^{2}-4 x-5\) is \((x - 5)(x + 1)\)

Step by step solution

01

Identify the coefficients of the trinomial

Extract the coefficients of the given trinomial. In the given trinomial \(x^{2}-4 x-5\), \( a \) is 1, \( b \) is -4, and \( c \) is -5.
02

Find the factors of c

Find two numbers that multiply to -5 (the value of c), and that add up to -4 (the value of b). In this case, these two numbers would be -5 and 1, since (-5)*1 = -5 and (-5)+1 = -4.
03

Write the trinomial as a product of binomials

After finding the two numbers, write the trinomial as a product of two binomials. The trinomial \(x^{2}-4 x-5\) factors to become \((x - 5)(x + 1)\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The model \(P=-0.18 n+2.1\) describes the number of pay phones, \(P,\) in millions, \(n\) years after \(2000,\) so I have to solve a linear equation to determine the number of pay phones in 2010.

Rationalize the numerator. $$\frac{\sqrt{x}-\sqrt{y}}{x^{2}-y^{2}}$$

What does it mean to solve a formula for a variable?

Explain how to multiply rational expressions.

$$\begin{array}{l} \text { Find the exact value of } \sqrt{13+\sqrt{2}+\frac{7}{3+\sqrt{2}}} \text { without } \\ \text { the use of a calculator. } \end{array}$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.