The answer would look like this:
Zeros 2, 3, 5
(x-2) (x-3) (x-5) = 0
(x^2 - 2x- 3x +6) (x - 5) =0
(x^2 – 5x + 6) (x - 5) = 0
x^2 (x -5) - 5x (x - 5) + 6 (x - 5)=0
x^3 - 5x^2 -5x^2 + 25x + 6x - 30 = 0
The cubic polynomial function would be this one:
x^3 -10 x^2 + 31x - 30 = 0
check the attachment for the graph
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
To find:
The current which will produce the maximum power.
Solution:
We have,
Differentiate with respect to x.
...(i)
To find the extreme point equate P'(x)=0.
Divide both sides by -30.
Differentiate (i) with respect to x.
(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer: Real world problem is "A student have c toffee he distribute th part of those toffees to his friends. He gave total 21 toffees to his friend".
Explanation:
Let a student have c number of toffees in his bag.
It is given that he distribute th part of those toffees to his friends.
The th part of c toffees is,
The total number of distributed toffees is 21.
It is the same as given equation.
If we change the equation in words it means the th part of a number c is 21.