Answer:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
Step-by-step explanation:
We have the expression:
[tex]-\frac{x^3}{6} - 10 + x[/tex]
First, what does that expression represents?
As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.
How many terms are there?
The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.
What is the constant term?
The constant term is the term where the variable, x, does not appear, here the constant term is: -10
What is the leading coefficient?
The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:
[tex]-\frac{x^3}{6} -10 + x = (\frac{-1}{6})*x^3 - 10 + x[/tex]
the leading coefficient is:
(-1/6)
There is a part of the statement that I can't read, i suppose that there says:
"leading degree"
this is just the largest power of x that appears in the polynomial, in this case, is 3.
Then the complete statement is:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
