https://file.aiquickdraw.com/mathbot/file/1726080286137ymffft2e.jpg

Let's simplify the expression **Polynomial 1 - Polynomial 2** step by step. 

We are given:

- Polynomial 1: \( 7x^2 - 9x - 2 \)
- Polynomial 2: \( -2x^2 - x + 11 \)

To subtract Polynomial 2 from Polynomial 1, we distribute the negative sign across Polynomial 2:

\[
(7x^2 - 9x - 2) - (-2x^2 - x + 11)
\]

This simplifies to:

\[
7x^2 - 9x - 2 + 2x^2 + x - 11
\]

Now, combine like terms:

- \( 7x^2 + 2x^2 = 9x^2 \)
- \( -9x + x = -8x \)
- \( -2 - 11 = -13 \)

Thus, the simplified expression in standard form is:

\[
9x^2 - 8x - 13
\]

Do you have any questions or would you like a deeper explanation on any part?

Here are 5 related questions for practice:

1. How would you subtract polynomials that have more than three terms?
2. What happens when you add polynomials instead of subtracting them?
3. How do you factor the resulting polynomial \( 9x^2 - 8x - 13 \)?
4. Can you find the roots of the polynomial \( 9x^2 - 8x - 13 \) using the quadratic formula?
5. How do you multiply two polynomials, such as \( (7x - 2)(x + 3) \)?

**Tip:** When subtracting polynomials, remember to distribute the negative sign across all terms of the second polynomial before combining like terms.

Simplify and write in Standard Form: Polynomial 1 - Polynomial 2

Learn how to simplify and subtract two polynomials: (7x^2 - 9x - 2) - (-2x^2 - x + 11). This problem focuses on combining like terms and the subtraction of polynomials, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation