High School

Write the polynomial in standard form. Give the degree of the polynomial. Classify the polynomial by its degree.

a. \(26x^5 - 14x^4 + 19x^3 + 7x - 18\)

Standard form: \(26x^5 - 14x^4 + 19x^3 + 7x - 18\)

Degree: 5

Name based on degree: Quintic Polynomial

Answer :

Answer:

Sure, I'd be happy to help!

The polynomial you provided is:

7x - 14x^4 + 19x^3 + 26x^5 - 18

To put this polynomial in standard form, we need to factor it. Here's the factored form of the polynomial:

7x(1 - 14x^3 + 19x^2 + 26x^4) - 18

Now, we can see that the degree of the polynomial is 4, so it is a quartic polynomial.

Based on the degree of the polynomial, we can classify it as a quartic polynomial.

Step-by-step explanation: