Question

Question #dcf48

Answer 1

True

Explanation:

A full cubic polynomial looks like this:
`f(x)=ax^3+bx^2+cx+d`

Let's write an equation that shows the roots of the function. Two of the roots are 0. Let's assume the third root is `b`.

`f(x)=x*x*(x-b)`

As you can see, two of the roots are equal to 0 and the other is equal to `b`.

Let's expand this equation:

`f(x)=x^2*(x-b)`

`f(x)=x^3-bx^2`

We can see that there are no linear (`cx`) or constant (`d`). Therefore, the statement is true. Hope this helps.