Question

Can someone please show me how to solve this? Show your work! (polynomial)
Inserted in comments

Answer 1

\[5+x^2-7x\] in standard form also the degree

Answer 2

Standard form is to write the term with the highest exponent of x first, then each term in descending order of the exponent of x after.

Answer 3

The middle term now is \(x^2\).
That is the highest exponent of x of any term.
That means that term goes first in standard form.

Answer 4

The next term in standard form is the term with the next lower exponent of x.
That is the term \(-7x\).
Finally, the last term in standard form is 5 since 5 can be thought of as \(5x^0\), and that is the lowest exponent of x that a polynomial can have.

Answer 5

Okay so it would be x^2-7x+5?

Answer 6

Correct.
You deserve a medal.

Answer 7

Now the second question. What is the degree?

Answer 8

Thank you for your help!

Answer 9

Oh right! One more thing, what would be the degree?

Answer 10

Oh never mind I see that reply now.

Answer 11

You're welcome.
A polynomial is made up of one or more terms.
Terms are added together.
In this example, you have 3 terms.
If you add the exponents of all the variables of each term, you get the degree of each term.
The degree of the polynomial is the same as the degree of the term of highest degree.

Answer 12

Okay so the degree would be 2? or x^2?

Answer 13

In your case, there is only one variable, x.
See the figure below.