Answer:
The zeros of f(x) are -3, 2 , 6
Step-by-step explanation:
f(x) is a polynomial of degree 3.
If the polynomial is not factorized we will either factorize to find the zero or use trial and error method.
Since the f(x) in the question is in the factorized form. we will have to equate each factor to zero.
f(x) = (x+3)(x-2)(x-6)
x + 3 = 0 => x = -3
x - 2 = 0 => x = 2
x - 6 = 0 => x = 6
Answer:
16
Step-by-step explanation:
10 · 4 = 40
640/40= 16
These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!
Answer:
P = 2x^3 - 4x^2 - 16x
Step-by-step explanation:
Only 1 step: divide both sides by x
Answer:
(x-5)^2+(y+4)^2=100
Step-by-step explanation:
As we know the given points
Center = (5, -4)
and
Point on circle = (-3,2)
The distance between point on circle and center will give us the radius of circle
So,
The formula for distance is:
The standard form of equation of circle is:
where h and k are the coordinates of the center. So putting in the value:
