/*! 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 17 Factor each trinomial, or state ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 17

Factor each trinomial, or state that the trinomial is prime. $$x^{2}+5 x+6$$

Short Answer

Expert verified
The factored form of the trinomial is (x+2)(x+3).

Step by step solution

01

Identify the Coefficients

The given trinomial is \(x^{2}+5x+6\), where the coefficient of \(x^{2}\) is 1, the coefficient of \(x\) (the linear term) is 5, and the constant term is 6.
02

Factor the Trinomial

Identify two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of the linear term). The numbers 2 and 3 meet these conditions because 2*3 = 6 and 2+3 = 5. So, the trinomial can be written as (x+2)(x+3).
03

Write the Final Answer

The factored form of the trinomial \(x^{2}+5x+6\) is (x+2)(x+3).

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

Perform the indicated operations. $$\left(1-\frac{1}{x}\right)\left(1-\frac{1}{x+1}\right)\left(1-\frac{1}{x+2}\right)\left(1-\frac{1}{x+3}\right)$$

Describe ways in which solving a linear inequality is different than solving a linear equation.

Explain how to add or subtract rational expressions with the same denominators.

Explain how to solve \(x^{2}+6 x+8=0\) by completing the square.

Will help you prepare for the material covered in the next section. If the width of a rectangle is represented by \(x\) and the length is represented by \(x+200\), write a simplified algebraic expression that models the rectangle's perimeter.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Decision Maths

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.