BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 88E
To determine

To calculate: The factors of the expression x5+x4+x+1 .

Expert Solution

Answer to Problem 88E

The factors of the expression x5+x4+x+1 are (x4+1) and (x+1) .

Explanation of Solution

Given information:

The expression x5+x4+x+1 .

Formula used:

To factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

Calculation:

Consider the given expression x5+x4+x+1 .

Recall that to factor an expression, split the terms in the expression into multiplication of simpler expressions, then take the common power out and group the expressions together.

Apply it,

  x5+x4+x+1=(x5+x4)+(x+1)=x4(x+1)+1(x+1)=(x4+1)(x+1)

Thus, the factors of expression x5+x4+x+1 are (x4+1) and (x+1) .

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