/*! 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 114 Factor completely. $$3 x^{2}+5... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 114

Factor completely. $$3 x^{2}+5 x y^{2}+2 y^{4}$$

Short Answer

Expert verified
The completely factored form of the polynomial is \(x^{2}(3+5y^{2})+ 2y^{4}\)

Step by step solution

01

Identify the common factors

Go through the terms in the polynomial \(3x^{2} + 5xy^{2} + 2y^{4}\) and identify any common factors. In this case, it is evident that there are no common factors among the three terms.
02

Group and Factor

Since we are unable to factorize the equation as a whole, we look for groups where we can factorize. We can group the terms as \((3x^{2}+ 5xy^{2})+2y^{4}\). Now it can be easily observed that \(x^{2}\) can be factored out from the first term. This gives us \(x^{2}( 3+ 5y^{2})+ 2y^{4}\).
03

Final Factoring Step

Unfortunately, we cannot factorize it further. Thus, the completely factored form of the given polynomial is given by \(x^{2}(3+5y^{2})+ 2y^{4}\).

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

Will help you prepare for the material covered in the next section. A telephone texting plan has a monthly fee of \(\$ 20\) with a charge of \(\$ 0.05\) per text. Write an algebraic expression that models the plan's monthly cost for \(x\) text messages.

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator weighs 245 pounds and each cement bag weighs 95 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

What is a rational expression?

Perform the indicated operations. Simplify the result, if possible. $$\left(2-\frac{6}{x+1}\right)\left(1+\frac{3}{x-2}\right)$$

What is a compound inequality and how is it solved?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

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.