Question 833323: The roots of a certain polynomial are -2/5, -6 and 4/3. What might the linear factors of the polynomial be?
Answer by DrBeeee(684)   (Show Source):
You can put this solution on YOUR website! Given:
The roots of a polynomial are x = {-2.5,-6,4/3}.
If you have a single root such as
(1) x = -2.5
We can find the factor by adding 2.5 to each side to get the factor
(2) x + 2.5 = 0
Do this for the other two roots to get
(3) x + 6 = 0 and
(4) x - 4/3 = 0
Since the polynomial is the product of its factors, the polynomial is
(4) (x+2.5)*(x+6)*(x-4/3)
Answer: The linear factors of the polynomial might be {(x+2.5),(x+6),(x-4/3)}
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