Chapter 5: Q.316. (page 487)

Use synthetic division to find the quotient and remainder.
$x^{3} - 6 x^{2} + 5 x + 14$ is divided by $x + 1$

Short Answer

Expert verified

The quotient is $x^{2} - 7 x + 12$ and the remainder is $2$ .

Step by step solution

Step 1. Given information.

$x^{3} - 6 x^{2} + 5 x + 14$ is divided by $x + 1$ .

Step 2. Write the coefficients of the terms as the first row of the synthetic division.

Write the divisor form of $x - c$ that is $x - (- 1)$ .

$- 1 1 - 6 5 14$

Step 3. Bring down the first coefficient to the third row and multiply the coefficients by the divisor and place the result in the second row and add the column and put the result in the third row.

$- 1 1 - 6 5 14 - 1 7 - 12 \bar{1 - 7 12 2}$

Step 4. Simplified answer.

The coefficients of the quotient are $1, - 7, 12$ .

The quotient isrole="math" localid="1644402857391" $x^{2} - 7 x + 12$ and the remainder is $2$ .

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Use synthetic division to find the quotient and remainder.
$x^{3} - 6 x^{2} + 5 x + 14$ is divided by $x + 1$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the coefficients of the terms as the first row of the synthetic division.

Step 3. Bring down the first coefficient to the third row and multiply the coefficients by the divisor and place the result in the second row and add the column and put the result in the third row.

Step 4. Simplified answer.

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Use synthetic division to find the quotient and remainder.x3-6x2+5x+14is divided byx+1

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the coefficients of the terms as the first row of the synthetic division.

Step 3. Bring down the first coefficient to the third row and multiply the coefficients by the divisor and place the result in the second row and add the column and put the result in the third row.

Step 4. Simplified answer.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Calculus

Geometry

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Use synthetic division to find the quotient and remainder.
$x^{3} - 6 x^{2} + 5 x + 14$ is divided by $x + 1$