We appreciate your visit to Which polynomial represents the sum below tex begin array r 2x 7 5x 4 quad 5x 6 8x hline end array tex A tex 5x. 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 :
We begin by writing the two polynomials clearly. The first polynomial is
[tex]$$
2x^7 + 5x + 4,
$$[/tex]
and the second polynomial is
[tex]$$
5x^9 + 8x.
$$[/tex]
Since we are adding these polynomials, we combine the like terms.
1. For the term with [tex]$x^9$[/tex], there is no [tex]$x^9$[/tex] term in the first polynomial (which we can think of as having a coefficient of 0), and the second polynomial has a coefficient of 5. Thus, the sum for the [tex]$x^9$[/tex] term is:
[tex]$$
0 + 5 = 5,
$$[/tex]
resulting in the term
[tex]$$
5x^9.
$$[/tex]
2. For the term with [tex]$x^7$[/tex], the first polynomial provides a coefficient of 2, while the second polynomial has no [tex]$x^7$[/tex] term. Therefore, we have:
[tex]$$
2 + 0 = 2,
$$[/tex]
which gives
[tex]$$
2x^7.
$$[/tex]
3. For the term with [tex]$x$[/tex], the first polynomial has a coefficient of 5 and the second has 8, so:
[tex]$$
5 + 8 = 13,
$$[/tex]
resulting in
[tex]$$
13x.
$$[/tex]
4. Finally, for the constant term, the first polynomial gives 4 and the second has none, so:
[tex]$$
4 + 0 = 4.
$$[/tex]
Combining all these, the sum of the two polynomials is
[tex]$$
5x^9 + 2x^7 + 13x + 4.
$$[/tex]
Thus, the polynomial representing the sum is
[tex]$$
\boxed{5x^9 + 2x^7 + 13x + 4}.
$$[/tex]
[tex]$$
2x^7 + 5x + 4,
$$[/tex]
and the second polynomial is
[tex]$$
5x^9 + 8x.
$$[/tex]
Since we are adding these polynomials, we combine the like terms.
1. For the term with [tex]$x^9$[/tex], there is no [tex]$x^9$[/tex] term in the first polynomial (which we can think of as having a coefficient of 0), and the second polynomial has a coefficient of 5. Thus, the sum for the [tex]$x^9$[/tex] term is:
[tex]$$
0 + 5 = 5,
$$[/tex]
resulting in the term
[tex]$$
5x^9.
$$[/tex]
2. For the term with [tex]$x^7$[/tex], the first polynomial provides a coefficient of 2, while the second polynomial has no [tex]$x^7$[/tex] term. Therefore, we have:
[tex]$$
2 + 0 = 2,
$$[/tex]
which gives
[tex]$$
2x^7.
$$[/tex]
3. For the term with [tex]$x$[/tex], the first polynomial has a coefficient of 5 and the second has 8, so:
[tex]$$
5 + 8 = 13,
$$[/tex]
resulting in
[tex]$$
13x.
$$[/tex]
4. Finally, for the constant term, the first polynomial gives 4 and the second has none, so:
[tex]$$
4 + 0 = 4.
$$[/tex]
Combining all these, the sum of the two polynomials is
[tex]$$
5x^9 + 2x^7 + 13x + 4.
$$[/tex]
Thus, the polynomial representing the sum is
[tex]$$
\boxed{5x^9 + 2x^7 + 13x + 4}.
$$[/tex]
Thanks for taking the time to read Which polynomial represents the sum below tex begin array r 2x 7 5x 4 quad 5x 6 8x hline end array tex A tex 5x. 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
