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3 years ago

Write a polynomial function in standard form with zeros at 1,2 and 3. HELP PLEASE!!!

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

Answer:

option B) f(x)=x^3-6x^2+11x-6

Step-by-step explanation:

Zeros means the point at which a given function becomes zero for the value of input.

In given case, zeros of f(x) is required at points 1,2 and 3.

Graphically the point on x-axis where the function line intersects the x-axis is the zero of the function i.e. the function value is 0,

hence

f(x)=0 when x=1

x-1=0

f(x)=(x-1)

f(x)=0 when x=2

x-2=0

f(x)=(x-2)

f(x)=0 when x=3

x-3=0

f(x)=(x-3)

Thus f(x)=(x-1)(x-2)(x-3)

Writing the above polynomial in standard form:

f(x)=x^3-6x^2+11x-6 !

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Can someone graph this? I'll give brainliest.

vodomira [7]

It's nice of you to offer, but no thanks.

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Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the amount of bottles and returns the total cost. Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x y

--------

0 0

1 1.5

2 3

3 4.5

4 6

5 7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.

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