/*! 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} Q63. Factor each trinomial, if possib... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q63. (page 516)

Factor each trinomial, if possible. If the polynomial cannot be factored, write prime.

x4鈭�1

Short Answer

Expert verified

The factor of the polynomial is:

(x鈭�1)(x+1)(x2+1)

Step by step solution

01

Step 1. State the concept for factorization of algebraic expressions.

I. The product of two factors with like signs is positive, and the product of two factors with unlike signs is negative.

II. If x is a variable and m, n are positive integers, thenxm+n=xm脳xn

02

Step 2. State the methods to factorize.

Factoring an algebraic expression means writing the expression as a product of factors.

To verify whether the factors are correct or not, multiply them and check if the result is the original algebraic expression.

Algebraic expressions can be factorized using the common factor method, regrouping like terms together, and also by using algebraic identities.

03

Step 3. Factorize the expression.

Factorize the given polynomial by using the formula: a2鈭�b2=a鈭�ba+b.

x4鈭�1=x22鈭�12=x2鈭�1x2+1=x2鈭�12x2+1=x鈭�1x+1x2+1

Therefore, the factor is x鈭�1x+1x2+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

Solve each equation. Check your solutions.

x2-3x-18=0

Use the Distributive Property to factor each polynomial.

12x+24y

Solve each equation. Check your solution.

6p2鈭�3p=0

Find each product.

2x+5y2x鈭�5y

Rewrite each expression using the Distributive Property. Then simplify.

nn鈭�3n2+2
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

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.