We appreciate your visit to Multiply tex left x 4 1 right left 3x 2 9x 2 right tex Choose the correct expression A tex x 4 3x 2 9x. 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 :
Let's solve the problem of multiplying the two polynomials: [tex]\((x^4 + 1)\)[/tex] and [tex]\((3x^2 + 9x + 2)\)[/tex].
We'll do this by distributing each term from the first polynomial to each term in the second polynomial, combining like terms along the way.
1. Expand [tex]\((x^4 + 1)\)[/tex]:
- Multiply [tex]\(x^4\)[/tex] with every term in the second polynomial [tex]\((3x^2 + 9x + 2)\)[/tex]:
[tex]\[
x^4 \cdot 3x^2 = 3x^6
\][/tex]
[tex]\[
x^4 \cdot 9x = 9x^5
\][/tex]
[tex]\[
x^4 \cdot 2 = 2x^4
\][/tex]
2. Expand [tex]\((1)\)[/tex]:
- Multiply [tex]\(1\)[/tex] with every term in the second polynomial [tex]\((3x^2 + 9x + 2)\)[/tex]:
[tex]\[
1 \cdot 3x^2 = 3x^2
\][/tex]
[tex]\[
1 \cdot 9x = 9x
\][/tex]
[tex]\[
1 \cdot 2 = 2
\][/tex]
3. Combine all the terms together:
[tex]\[
3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2
\][/tex]
There's nothing to combine further, as all terms are of different degrees. Therefore, the final result of multiplying [tex]\((x^4 + 1)\)[/tex] and [tex]\((3x^2 + 9x + 2)\)[/tex] is:
[tex]\[
3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2
\][/tex]
We'll do this by distributing each term from the first polynomial to each term in the second polynomial, combining like terms along the way.
1. Expand [tex]\((x^4 + 1)\)[/tex]:
- Multiply [tex]\(x^4\)[/tex] with every term in the second polynomial [tex]\((3x^2 + 9x + 2)\)[/tex]:
[tex]\[
x^4 \cdot 3x^2 = 3x^6
\][/tex]
[tex]\[
x^4 \cdot 9x = 9x^5
\][/tex]
[tex]\[
x^4 \cdot 2 = 2x^4
\][/tex]
2. Expand [tex]\((1)\)[/tex]:
- Multiply [tex]\(1\)[/tex] with every term in the second polynomial [tex]\((3x^2 + 9x + 2)\)[/tex]:
[tex]\[
1 \cdot 3x^2 = 3x^2
\][/tex]
[tex]\[
1 \cdot 9x = 9x
\][/tex]
[tex]\[
1 \cdot 2 = 2
\][/tex]
3. Combine all the terms together:
[tex]\[
3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2
\][/tex]
There's nothing to combine further, as all terms are of different degrees. Therefore, the final result of multiplying [tex]\((x^4 + 1)\)[/tex] and [tex]\((3x^2 + 9x + 2)\)[/tex] is:
[tex]\[
3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2
\][/tex]
Thanks for taking the time to read Multiply tex left x 4 1 right left 3x 2 9x 2 right tex Choose the correct expression A tex x 4 3x 2 9x. 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
