Question

What's the leading term and constant of -.5x^5+1.5

Answer 1

We have the following polynomial:

`-0.5x^5+1.5`

And we have to determine which is the leading term, and the constant term of that polynomial.

1. To determine that we know that the leading term is that term in the polynomial that contains the highest power of the variable. In this case, the variable is x, and the term with the highest variable is:

`-0.5x^5\rightarrow\text{ This is the leading term}`

2. To determine the constant term, we have to remember that this term is not associated with the variable, that is, is not a coefficient of the variable. Therefore, the constant term is 1.5.

Hence, in summary, we have that:

`\text{ Leading term: }-0.5x^5`

And

`\text{ Constant term: }1.5`