### Adding PolynomialsIn this example, we are asked to add the polynomials $(-3x + 4)$ and $(8x - 5$) together.To add the polynomials, we combine like terms:1. Combine the $x$-terms: \[ -3x + 8x = 5x \] 2. Combine the constant terms: \[ 4 - 5 = -1 \] The resulting polynomial after combining like terms is:\[5x - 1\]---### Multiple-Choice OptionsThe problem provides several multiple-choice options for the resulting polynomial. These options are displayed as colored blocks, each containing a different polynomial expression:1. **5x - 9** (Blue)2. **11x - 1** (Cyan)3. **11x - 9** (Yellow)4. **5x - 1** (Pink)5. **None of these** (Purple)Based on our calculation, the correct answer is represented by the pink block: `5x - 1`.

The two polynomials are and . Addition of two polynomials involves adding the terms of each…

Answered: Add the polynomial (-3x + 4) + (8x - 5)…

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Algebra

Add the polynomial (-3x + 4) + (8x - 5) None 5x - 9 11x - 1 11x - 9 5x - 1 of these

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

Question

### Adding Polynomials

In this example, we are asked to add the polynomials $(-3x + 4)$ and $(8x - 5$) together.

To add the polynomials, we combine like terms:

1. Combine the $x$-terms:
\[
-3x + 8x = 5x
\]

2. Combine the constant terms:
\[
4 - 5 = -1
\]

The resulting polynomial after combining like terms is:
\[
5x - 1
\]

---

### Multiple-Choice Options

The problem provides several multiple-choice options for the resulting polynomial. These options are displayed as colored blocks, each containing a different polynomial expression:

1. **5x - 9** (Blue)
2. **11x - 1** (Cyan)
3. **11x - 9** (Yellow)
4. **5x - 1** (Pink)
5. **None of these** (Purple)

Based on our calculation, the correct answer is represented by the pink block: `5x - 1`.

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