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 83E
To determine

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

Expert Solution

Answer to Problem 83E

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) .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!