Trigonometry Examples Algebra Concepts and Expressions Review

Divide Using Synthetic Division

$\frac{x^{2} - 16}{x + 4}$

Step 1

Place the numbers representing the divisor and the dividend into a division-like configuration.

$- 4$	$1$	$0$	$- 16$

Step 2

The first number in the dividend $(1)$ is put into the first position of the result area (below the horizontal line).

$- 4$	$1$	$0$	$- 16$

	$1$

Step 3

Multiply the newest entry in the result $(1)$ by the divisor $(- 4)$ and place the result of $(- 4)$ under the next term in the dividend $(0)$ .

$- 4$	$1$	$0$	$- 16$
		$- 4$
	$1$

Step 4

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

$- 4$	$1$	$0$	$- 16$
		$- 4$
	$1$	$- 4$

Step 5

Multiply the newest entry in the result $(- 4)$ by the divisor $(- 4)$ and place the result of $(16)$ under the next term in the dividend $(- 16)$ .

$- 4$	$1$	$0$	$- 16$
		$- 4$	$16$
	$1$	$- 4$

Step 6

Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.

$- 4$	$1$	$0$	$- 16$
		$- 4$	$16$
	$1$	$- 4$	$0$

Step 7

All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.

$(1) x - 4$

Step 8

Simplify the quotient polynomial.

$x - 4$

Enter YOUR Problem

Algebra Concepts and Expressions Review

More step-by-step Trigonometry examples from this chapter.

How to Use Step-by-Step Examples

Read the worked problem

Each example starts from a real Trigonometry problem and shows the rule or formula it relies on.

Follow every step

Work through the solution line by line. Underlined terms open a glossary definition.

Solve your own problem

Enter a similar problem in the Trigonometry solver to get the answer with steps.

Why use Mathway?

Step-by-step solutions

See how every answer is worked out, not just the result.

Every major math subject

From basic math through calculus, statistics and chemistry.

Accurate results

Answers you can check your homework against.

Trusted by students

A reliable tool for homework and learning.

Divide Using Synthetic Division

Algebra Concepts and Expressions Review

How to Use Step-by-Step Examples

Why use Mathway?

Explore More Trigonometry Help