Is the algebraic expression a​ polynomial? If it​ is, write the polynomial in standard form. 8x^4 +7x^5 -7

Question

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A. ​Yes, the expression 8x^4 +7x^5 -7 is a polynomial. The expression written in standard form is blank.

B. No, the expression 8x^4 +7x^5 -7 is not a polynomial.

Answer 1

A polynomial is an algebraic expression that consists of multiple terms, where each term is a product of a constant coefficient and a variable raised to a non-negative integer exponent. In your expression \(8x^4 + 7x^5 - 7\), all terms fit this definition.

Now, to express the polynomial in standard form, we need to arrange the terms in descending order of their exponent. The standard form of the polynomial is:

\[ 7x^5 + 8x^4 - 7 \]

So the correct choice would be:

A. ​Yes, the expression \(8x^4 +7x^5 -7\) is a polynomial. The expression written in standard form is \(7x^5 + 8x^4 - 7\).