Answer:
Step-by-step explanation:
There are a couple of equivalent expressions to the function . For example:
Factor:
If you add the terms inside the parentheses:
Basically you can add the like terms from the start and get the same result.
Therefore:
Answer:
The cubic polynomial is: x³ - x² - 6x.
Step-by-step explanation:
Given the degree and the roots of the polynomial we can find it.
An n - degree polynomial has n roots.
Here, given that the degree of the polynomial is 3 and three roots are given. Also, if (x - a) is a factor of a polynomial then x = a is a root of the polynomial. The converse is also true.
Since, the roots of the polynomial are given to -2, 0, 3 then it should have had the following factors.
(x + 2)(x - 0)(x - 3) = 0
Multiplying them we get:
⇒
which is the required cubic polynomial.
Hence, the answer.