High School

We appreciate your visit to The polynomial tex 2025x 26x 8 tex is equivalent to the product of tex 5x 4 tex and which of the following binomials A 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!

The polynomial [tex]2025x + 26x^8[/tex] is equivalent to the product of [tex](5x + 4)[/tex] and which of the following binomials?

A. [tex]4x^7[/tex]
B. [tex]5x^7[/tex]
C. [tex]5x^9[/tex]
D. [tex]4x^9[/tex]

Answer :

Final answer:

To find the binomial that, when multiplied by (5x + 4), gives you the polynomial 2025x + 26x^8, you can use polynomial long division. The resulting binomial is (405x + 324).

Explanation:

To find the binomial that, when multiplied by (5x + 4), gives you the polynomial 2025x + 26x^8, we need to divide the polynomial by (5x + 4) using polynomial long division. Here's how:

  1. First, divide the first term of the polynomial, 2025x, by the first term of the binomial, 5x. This gives you 405x as the first term of the quotient.
  2. Next, multiply the entire binomial, (5x + 4), by 405x. This gives you 2025x^2 + 1620x.
  3. Subtract this product from the original polynomial: (2025x + 26x^8) - (2025x^2 + 1620x).
  4. Continue this process until you can no longer divide.

When you divide the polynomial by (5x + 4), you will find that the quotient is 405x + 324. Therefore, the polynomial 2025x + 26x^8 is equivalent to the product of (5x + 4) and (405x + 324).

Learn more about Polynomial Division here:

https://brainly.com/question/36507743

#SPJ11

Thanks for taking the time to read The polynomial tex 2025x 26x 8 tex is equivalent to the product of tex 5x 4 tex and which of the following binomials A 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!

Rewritten by : Barada