# The factors of the expression x 3 + 4 x 2 + x + 4 .

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 1.3, Problem 83E
To determine

## To calculate: The factors of the expression x3+4x2+x+4 .

Expert Solution

The factors of the expression x3+4x2+x+4 are (x2+1) and (x+4) .

### Explanation of Solution

Given information:

The expression x3+4x2+x+4 .

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 x3+4x2+x+4 .

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,

x3+4x2+x+4=(x3+4x2)+(x+4)=x2(x+4)+1(x+4)=(x2+1)(x+4)

Thus, the factors of expression x3+4x2+x+4 are (x2+1) and (x+4) .

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