# Can someone please help with this one? "write a polynomial equation of degree 4 with leading coefficient 1 that has roots at -2, -1, 3, and 4."?

##### 4 Answers

#### Explanation:

This would give

#### Explanation:

Expand

=

=

The polynomial is

#### Explanation:

A polynomial equation of degree

Hence, a polynomial equation of degree

or

or

or

or

#### Explanation:

You can answer the question by looking at the requirements and fulfilling them step by step. A degree 4 polynomial will have

A leading coefficient of 1 means that the highest order term (

Lastly, having roots at -2, -1, 3, and 4 can be fulfilled by writing the polynomial in a way where it is easy to identify roots. A root of the equation is a value of

So all put together we can choose the equation