Question

Subtract the polynomials using the vertical format. $$ 5 x-2 \text { from } 12 x+6 $$

Name: Problem 31, Chapter 3: Intermediate Algebra
Uploaded: 2023-03-14T07:34:27-08:00
Duration: 53 s
Channel: Jennifer Stoner
Description: Subtract the polynomials using the vertical format. 5 x-2 from 12 x+6

   Subtract the polynomials using the vertical format.
$$
5 x-2 \text { from } 12 x+6
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 31

Instant Answer

Solved by Expert Jennifer Stoner

03/14/2023

Step 1

The polynomial $12x + 6$ goes on top because it is the one from which we are subtracting. The polynomial $5x - 2$ goes on the bottom because it is the one being subtracted. So we have: \[ \begin{array}{c} 12x + 6 \\ - (5x - 2) \end{array} \] Show more…

Show all steps

Thanks for your feedback!

Subtract the polynomials using the vertical format. $$ 5 x-2 \text { from } 12 x+6 $$

Play audio

Feedback

Jennifer Stoner and 65 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Polynomial Subtraction

Polynomial subtraction involves changing the sign of each term in the polynomial to be subtracted and then combining like terms with the corresponding terms of the first polynomial. This process ensures that each individual term is accurately accounted for in the subtraction operation.

Vertical Format Alignment

The vertical format is a method of arranging polynomials by aligning like terms into columns, similar to the traditional structure used in arithmetic subtraction. This organization allows for a clear, step-by-step approach to subtracting corresponding coefficients, reducing the chance of error.

Combining Like Terms

After setting up the polynomials in vertical format, like terms—terms that have the same variable and exponent—are combined by performing the necessary arithmetic operations. This process simplifies the resulting expression and is essential in obtaining the final, simplified polynomial.

Please give Ace some feedback