Question

Write the polynomial in standard form. Then identify the leading term and the constant term. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answer 1

The polynomial has a degree of 2, so the standard form is:

`g(x)=ax^2+bx+c`

To rewwrite it as this form, we can separate the fraction:

`g(x)=(1-x^2)/(4)=(1)/(4)-(x^2)/(4)=(1)/(4)-(1)/(4)x^2`

So, the standard form is:

`g(x)=-(1)/(4)x^2+(1)/(4)`

The second term don't appear because its coefficient is 0.

The leading term is the term with highest degree, so it is:

`-(1)/(4)x^2`

And the constant term is the one without any variables, so it is:

`(1)/(4)`