Write the polynomial in standard form, Determine the degree of the polynomial.
13x^2-5+6x^3-x
To write the polynomial in standard form, we need to arrange the terms in descending order of their exponents. Additionally, we will combine like terms if necessary, but in this case, there are no like terms to combine. So, the polynomial in question is:
13x^2 - 5 + 6x^3 - x
Rearranging the terms in descending order:
6x^3 + 13x^2 - x - 5
Now, let's determine the degree of the polynomial. The degree of a polynomial is the highest exponent of the variable in the polynomial. Looking at our rearranged polynomial:
6x^3 + 13x^2 - x - 5
The term with the highest exponent is 6x^3, which has an exponent of 3. Therefore, the degree of the polynomial is 3.
The polynomial in standard form and its degree are:
Standard Form: 6x^3 + 13x^2 - x - 5
Degree: 3