High School

We appreciate your visit to Multiply tex x 4 1 3x 2 9x 2 tex Options A tex x 4 3x 2 9x 3 tex B tex 3x 6 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!

Multiply:

[tex] (x^4 + 1)(3x^2 + 9x + 2) [/tex]

Options:

A. [tex] x^4 + 3x^2 + 9x + 3 [/tex]

B. [tex] 3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2 [/tex]

C. [tex] 3x^7 + 9x^6 + 2x^5 [/tex]

D. [tex] 3x^8 + 9x^4 + 2x^4 + 3x^2 + 9x + 2 [/tex]

Answer :

To multiply the expressions [tex]\((x^4 + 1)\)[/tex] and [tex]\((3x^2 + 9x + 2)\)[/tex], we'll distribute each term in the first expression by each term in the second expression. Let's break it down step by step:

1. Distribute [tex]\(x^4\)[/tex]:

- [tex]\(x^4 \times 3x^2 = 3x^{6}\)[/tex]
- [tex]\(x^4 \times 9x = 9x^{5}\)[/tex]
- [tex]\(x^4 \times 2 = 2x^{4}\)[/tex]

2. Distribute [tex]\(1\)[/tex]:

- [tex]\(1 \times 3x^2 = 3x^2\)[/tex]
- [tex]\(1 \times 9x = 9x\)[/tex]
- [tex]\(1 \times 2 = 2\)[/tex]

Now, combine all these results:

[tex]\[
3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2
\][/tex]

The expression is already in its expanded form. There are no like terms to combine here, so this is the final answer.

Thanks for taking the time to read Multiply tex x 4 1 3x 2 9x 2 tex Options A tex x 4 3x 2 9x 3 tex B tex 3x 6 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!

Rewritten by : Barada