College

We appreciate your visit to Divide tex 36x 5 44x 4 28x 3 tex by tex 4x 2 tex A tex 9x 2 11x 7 tex B tex 9x 2. 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!

Divide [tex]36x^5 - 44x^4 - 28x^3[/tex] by [tex]4x^2[/tex].

A. [tex]9x^2 - 11x - 7[/tex]
B. [tex]9x^2 + 11x + 7[/tex]
C. [tex]9x^3 - 11x^2 - 7x[/tex]
D. [tex]9x^3 + 11x^2 + 7x[/tex]

Answer :

To divide the polynomial [tex]\(36x^5 - 44x^4 - 28x^3\)[/tex] by [tex]\(4x^2\)[/tex], we will divide each term of the numerator by the denominator and simplify.

1. First Term:

- Divide [tex]\(36x^5\)[/tex] by [tex]\(4x^2\)[/tex]:
[tex]\[
\frac{36x^5}{4x^2} = 9x^{5-2} = 9x^3
\][/tex]

2. Second Term:

- Divide [tex]\(-44x^4\)[/tex] by [tex]\(4x^2\)[/tex]:
[tex]\[
\frac{-44x^4}{4x^2} = -11x^{4-2} = -11x^2
\][/tex]

3. Third Term:

- Divide [tex]\(-28x^3\)[/tex] by [tex]\(4x^2\)[/tex]:
[tex]\[
\frac{-28x^3}{4x^2} = -7x^{3-2} = -7x
\][/tex]

Combining these simplified terms, we get the result:
[tex]\[
9x^3 - 11x^2 - 7x
\][/tex]

So, the correct answer is [tex]\(9x^3 - 11x^2 - 7x\)[/tex], which corresponds to the option:
[tex]\[
\boxed{9x^3 - 11x^2 - 7x}
\][/tex]

Thanks for taking the time to read Divide tex 36x 5 44x 4 28x 3 tex by tex 4x 2 tex A tex 9x 2 11x 7 tex B tex 9x 2. 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