We appreciate your visit to Multiply the following expressions tex x 2 5x 2x 2 x 3 tex A tex 4x 4 9x 3 8x 2 15x tex B tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To multiply the polynomials [tex]\((x^2 - 5x)\)[/tex] and [tex]\((2x^2 + x - 3)\)[/tex], follow these steps:
1. Distribute each term in the first polynomial across the second polynomial:
- Multiply [tex]\(x^2\)[/tex] by each term in [tex]\((2x^2 + x - 3)\)[/tex]:
- [tex]\(x^2 \cdot 2x^2 = 2x^4\)[/tex]
- [tex]\(x^2 \cdot x = x^3\)[/tex]
- [tex]\(x^2 \cdot -3 = -3x^2\)[/tex]
- Multiply [tex]\(-5x\)[/tex] by each term in [tex]\((2x^2 + x - 3)\)[/tex]:
- [tex]\(-5x \cdot 2x^2 = -10x^3\)[/tex]
- [tex]\(-5x \cdot x = -5x^2\)[/tex]
- [tex]\(-5x \cdot -3 = 15x\)[/tex]
2. Combine all the products:
[tex]\[
2x^4 + x^3 - 3x^2 - 10x^3 - 5x^2 + 15x
\][/tex]
3. Combine like terms:
- Combine [tex]\(x^3\)[/tex] terms: [tex]\(x^3 - 10x^3 = -9x^3\)[/tex]
- Combine [tex]\(x^2\)[/tex] terms: [tex]\(-3x^2 - 5x^2 = -8x^2\)[/tex]
After combining, we have:
[tex]\[
2x^4 - 9x^3 - 8x^2 + 15x
\][/tex]
Therefore, the final product is:
[tex]\[
2x^4 - 9x^3 - 8x^2 + 15x
\][/tex]
So, the correct answer is Option D: [tex]\(2x^4 - 9x^3 - 8x^2 + 15x\)[/tex].
1. Distribute each term in the first polynomial across the second polynomial:
- Multiply [tex]\(x^2\)[/tex] by each term in [tex]\((2x^2 + x - 3)\)[/tex]:
- [tex]\(x^2 \cdot 2x^2 = 2x^4\)[/tex]
- [tex]\(x^2 \cdot x = x^3\)[/tex]
- [tex]\(x^2 \cdot -3 = -3x^2\)[/tex]
- Multiply [tex]\(-5x\)[/tex] by each term in [tex]\((2x^2 + x - 3)\)[/tex]:
- [tex]\(-5x \cdot 2x^2 = -10x^3\)[/tex]
- [tex]\(-5x \cdot x = -5x^2\)[/tex]
- [tex]\(-5x \cdot -3 = 15x\)[/tex]
2. Combine all the products:
[tex]\[
2x^4 + x^3 - 3x^2 - 10x^3 - 5x^2 + 15x
\][/tex]
3. Combine like terms:
- Combine [tex]\(x^3\)[/tex] terms: [tex]\(x^3 - 10x^3 = -9x^3\)[/tex]
- Combine [tex]\(x^2\)[/tex] terms: [tex]\(-3x^2 - 5x^2 = -8x^2\)[/tex]
After combining, we have:
[tex]\[
2x^4 - 9x^3 - 8x^2 + 15x
\][/tex]
Therefore, the final product is:
[tex]\[
2x^4 - 9x^3 - 8x^2 + 15x
\][/tex]
So, the correct answer is Option D: [tex]\(2x^4 - 9x^3 - 8x^2 + 15x\)[/tex].
Thanks for taking the time to read Multiply the following expressions tex x 2 5x 2x 2 x 3 tex A tex 4x 4 9x 3 8x 2 15x tex B tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
